What is the meaning of the Hadith: "On the Day of Resurrection, Allah will hand every Muslim a Jew or a Christian, and say: 'This is your ransom from the Hellfire'" and what is its degree of authenticity?

The hadith is authentic, and its meaning is that every person has a dwelling in Paradise and a dwelling in Hellfire. So, if a believer enters Paradise, the disbeliever follows him into Hellfire because he deserves it due to his disbelief. The meaning of "your ransom from the Fire" is that you were exposed to entering it, but Allah decreed a number to fill it. So, when the disbelievers enter it, they become like a ransom for the Muslims. It is also possible that the ransom is metaphorical, meaning that the believer descends into the disbeliever's place in Paradise that was prepared for him, and the disbeliever descends into the believer's place that was prepared for him.