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Finding the Third Proportional to 91,231,479 and 198,524,286

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Solution

The third proportional to 91,231,479 and 198,524,286 is: 431,998,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,231,479 : 198,524,286 = 198,524,286 : x
  2. Step 2: Convert to fraction form
    91,231,479/198,524,286 = 198,524,286/x
  3. Step 3: Cross multiply
    91,231,479x = 198,524,286 × 198,524,286
  4. Step 4: Simplify right side
    91,231,479x = 39,411,892,131,809,792
  5. Step 5: Solve for x
    x = 39,411,892,131,809,792/91,231,479
  6. Step 6: Final answer
    x = 431,998,829.39

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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.