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Finding the Third Proportional to 91,231,482 and 198,524,292

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Solution

The third proportional to 91,231,482 and 198,524,292 is: 431,998,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,231,482 : 198,524,292 = 198,524,292 : x
  2. Step 2: Convert to fraction form
    91,231,482/198,524,292 = 198,524,292/x
  3. Step 3: Cross multiply
    91,231,482x = 198,524,292 × 198,524,292
  4. Step 4: Simplify right side
    91,231,482x = 39,411,894,514,101,264
  5. Step 5: Solve for x
    x = 39,411,894,514,101,264/91,231,482
  6. Step 6: Final answer
    x = 431,998,841.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.