First you have to go into Dragon's den behind the eighth gym in jhoto. go down the latter and into the water. Surf around and a wild dratini will show up.
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Dratini can be found in the Dragon's Den and you can get one in the Goldenrod City Game Corner for 2100 coins.
in 1 of the water maps you will find a dratini.
In Pokemon Crystal you can find Dratini in Dragon's Den and Route 45. To find and catch Dratini you will need to use the Good Rod or Super Rod.
Dratini can be found in Dragonspiral Tower.
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