It takes 200/(3/2) =133 (13) for the tiger to complete the race, which should be counted as 134 steps;

Lions need to walk 200/(2/3)=300 steps to finish the race.

When the tiger has crossed 134, the number of steps taken by the lion is 134 * (3/2) = 20 1

So the result of the game is that the tiger wins.