Finding the Third Proportional to 199,672,915,715 and 404,901,963,544.75
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Solution
The third proportional to 199,672,915,715 and 404,901,963,544.75 is: 821,070,797,185.13
Step by Step Solution
- Step 1: Write the proportion equation
199,672,915,715 : 404,901,963,544.75 = 404,901,963,544.75 : x - Step 2: Convert to fraction form
199,672,915,715/404,901,963,544.75 = 404,901,963,544.75/x - Step 3: Cross multiply
199,672,915,715x = 404,901,963,544.75 × 404,901,963,544.75 - Step 4: Simplify right side
199,672,915,715x = 163,945,600,082,394,061,209,600 - Step 5: Solve for x
x = 163,945,600,082,394,061,209,600/199,672,915,715 - Step 6: Final answer
x = 821,070,797,185.13
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.