Finding the Third Proportional to 231,163,760 and 339,082,286
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Solution
The third proportional to 231,163,760 and 339,082,286 is: 497,382,447.31
Step by Step Solution
- Step 1: Write the proportion equation
231,163,760 : 339,082,286 = 339,082,286 : x - Step 2: Convert to fraction form
231,163,760/339,082,286 = 339,082,286/x - Step 3: Cross multiply
231,163,760x = 339,082,286 × 339,082,286 - Step 4: Simplify right side
231,163,760x = 114,976,796,678,985,792 - Step 5: Solve for x
x = 114,976,796,678,985,792/231,163,760 - Step 6: Final answer
x = 497,382,447.31
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.