The phrase "and eventually obtained a" is correct and usable in written English.
It can be used when describing a process or journey that leads to acquiring something after a period of time or effort.
Example: "After years of hard work and dedication, she applied for the scholarship and eventually obtained a full grant for her studies."
Alternatives: "and ultimately secured a" or "and finally acquired a".
Despite his history of instability, Petiot then enrolled in school and eventually obtained a medical degree in 1921.
The wait may be long, but about 8 in 10 immigrants seeking refugee status last year met the requirements and eventually obtained a visa and were released.
He gave up his religious studies after Bangladesh's independence in 1971, began a general education, became actively involved in the film society movement and eventually obtained a master's degree in history from the University of Dhaka.
He served honorably and faithfully in the remainder of the war — despite first being relegated to a sailing sloop rather than a steamship after his reinstatement — and eventually obtained a full clearance from a naval court of inquiry in 1872.
He enrolled in community college after he was paroled in 2001, and eventually obtained a bachelor's degree from the prestigious Washington University, and later a master's degree from the University of Missouri-St.
Subsequently, a group of five people read this first version, revised it, and eventually obtained a final form.
U-visas allow undocumented victims of violence who can show that they helped in the investigation or prosecution of a crime to remain in the US legally and eventually obtain a green card.
This is what I needed in order to get enrolled in school, get health care and, eventually, obtain a travel document.
And it wasn't until I landed a job with health benefits that I could even fathom going on an insulin pump and eventually obtain a CGM (Continuous Glucose Monitor).
While the farm has completely stopped having its animals slaughtered, it still needs to become a nonprofit and eventually obtain a charitable status before it's a true sanctuary.
For future applications, the unimodularity of the integer linear programming formulation suggests to exploit this property more systematically, and eventually obtain an efficient algorithm for the topological alignment problem with better guaranteed bounds on the running time.
