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Finding the Third Proportional to 113,207,704 and 242,560,398

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Solution

The third proportional to 113,207,704 and 242,560,398 is: 519,713,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,207,704 : 242,560,398 = 242,560,398 : x
  2. Step 2: Convert to fraction form
    113,207,704/242,560,398 = 242,560,398/x
  3. Step 3: Cross multiply
    113,207,704x = 242,560,398 × 242,560,398
  4. Step 4: Simplify right side
    113,207,704x = 58,835,546,677,918,400
  5. Step 5: Solve for x
    x = 58,835,546,677,918,400/113,207,704
  6. Step 6: Final answer
    x = 519,713,275.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.