Use 的 to make a connection 你要靠你自己的能力来学习中文。
你要靠你自己的能力来努力的学习中文。
The first one seemed to be correct.  But not sure about the second one if the 努力 was added correctly.
Any comments?
The '的' in '自己的' is a possessive marker. &quot;自己&quot; = &quot;oneself&quot;; &quot;自己的&quot; = &quot;onself's&quot;
Some people use 的 and 地 interchangeably in the adverb role. The second 的 in the second sentence functions the same as 地 as an adverb marker
你要靠你自己的能力来学习中文。
你要靠你自己的能力来努力(的/ 地)学习中文。
The term '努力' itself can function as an adverb. &quot;你要靠你自己的能力去努力学习中文。&quot; would be a cleaner sentence
努力地 is also an adverb, but it emphasizes the manner of the action.
I personally never use 的 instead of 地 to mark an adverb.
Side note: I changed 来努力 to 去努力. Both are grammatical but '靠你自己的能力来' emphasizes 'with (自己的能力)' and '力去努力学习中文' emphasizes 'to (学习中文)'