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Where is "the" lake of fire Located?
"the" lake of fire is mentioned 3/3/3 times in the whole of the scriptures.
1. Revelation 20:10
2. Revelation 20:14
3. Revelation 20:15
When we read "the" it means a specific lake of fire.

In Revelation 19:20 we read
1. The beast: a man to whom the dragon, Satan, that old serpent, the devil, gave over his power and authority to. A man of flesh and blood. An abomination, a man who has defiled his temple. An "it" who is no longer the "image" of God, which God created in the beginning.
2. The false prophet: A man who is fully given over to the idolatry and worship of this beast man. THE WHORE who rides the beast until he/she is destroyed by the beast himself. ( the one world religion)
These both were "taken" and cast into "a" lake of fire burning with brimstone.
Jude 1:7 calls it an "eternal" fire.
Matthew 18:8 and 25:41  mention an "everlasting fire" prepared for
1. the devil
2. and his angels
In Deuteronomy 4:24, and 9:3 we read that God himself is "a" consuming fire.
The Lord thy God goeth over before thee "as" a consuming fire he shall destroy them.
In Hebrews 12:29 For our God is "a" consuming fire.
We also read in Psalms 21:9 Thou (God) shalt "make" them "as" "a" fiery oven in the "time of thine anger": the Lord shall "swallow" them up in his "wrath,' and the "fire" shall devour them.
It is my understanding that "this" [ a lake of fire] in Revelation 19:20 is God himself who takes and swallows them up in his wrath of fire.
Why?
Romans 12:19  Dearly beloved, avenge not yourselves, but rather give place unto wrath: for it is written, Vengeance is mine; I' will repay, saith the Lord.
God himself (our Lord Jesus Christ) is "a" all consuming fire who will swallow up the beast and the false prophet in "the time" of his anger.
( Their bodies will be consumed, not their soul. Their souls are cursed to torment(s) in hell fire)
In the time of Lazarus, the scriptures tells us that the rich man "in hell" lift up his eyes, being in torment(s) and seeth Abraham "afar off" and Lazarus in his bosom. Hell is below, and at that time Abraham's bosom was paradise and separated from hell by a great gulf, and was above those who were in torment(s) below in hell. Luke 16:23
We read in Mark 9:44, 46, 48...Where their worm dieth not, and the fire is not quenched. In Mark 9:47  "to be cast into hell "fire'. Hell is on fire. The' lake of fire.
On the earth? No
On the farthest edge of the universe? No
In a dimension all it's own? No
Why? Because it is below the earth. The opposite of Heaven.
Even though the Lord will destroy heaven and earth with fire, Hell is still going to be on fire and remain below the earth.
Everlasting fire. Eternal fire.
If something is consumed by fire, it is burned up. All who are cast into the lake of fire are not consumed, the fire is never quenched. 
When something is consumed, it is no more. Not so with hell fire.
We read in Jonah 2: 2-3,
And said, I cried by reason of mine affliction unto the Lord, and he heard me; "out of the belly of hell" cried I, and thou heardest  my voice. For thou hadst cast me into the "deep," in the midst of the seas; and the floods compassed me about: all thy billows and thy waves passed over me.
Jonah was Dead and in hell.( his soul)
Hell is down in the depths of the earth. One day through the waters of Time, there shall be no more sea. There shall be no more sun, for He shall be the Light of the whole world.

God Bless You
KML