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Finding the Third Proportional to 97,786,704 and 207,229,920

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Solution

The third proportional to 97,786,704 and 207,229,920 is: 439,162,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,704 : 207,229,920 = 207,229,920 : x
  2. Step 2: Convert to fraction form
    97,786,704/207,229,920 = 207,229,920/x
  3. Step 3: Cross multiply
    97,786,704x = 207,229,920 × 207,229,920
  4. Step 4: Simplify right side
    97,786,704x = 42,944,239,743,206,400
  5. Step 5: Solve for x
    x = 42,944,239,743,206,400/97,786,704
  6. Step 6: Final answer
    x = 439,162,360.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.