I'm on my way chasing my dream.

我在追寻梦想的路上。

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Chasing after your dream is a great thing.

追逐梦想是一件好事。

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I'm chasing my dream!

我在追逐梦想！

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The American system of trial and error produces doers: Black Swan-hunting, dream-chasing entrepreneurs, with a tolerance for a certain class of risk-taking and for making plenty of small errors on the road to success or knowledge.

FORBES

They present Bruce, for the most part, as a sweet, even-tempered young man just another optimistic kid chasing a dream of success.

NEWYORKER: Dragon: The Bruce Lee Story

He first worked with Tollin on the latter's Oscar-nominated 1995 feature documentary, "Hank Aaron: Chasing the Dream, " and the two have remained friends since.

CNN: Baseball legend Hank Aaron getting biopic treatment