Final answer:
The Czech Republic and Slovakia are the two central European countries that were formed in 1993 after the dissolution of Czechoslovakia.
Step-by-step explanation:
The two central European countries that took the place of the state mentioned in the question in 1993 are the Czech Republic and Slovakia. This event occurred following the peaceful dissolution of Czechoslovakia, which separated into these two independent nations. The Czech Republic and Slovakia have each followed their own path since the split, with the Czech Republic known historically as Bohemia and Moravia, and Slovakia officially termed the Slovak Republic.