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Finding the Third Proportional to 102,418,704 and 149,739,696

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Solution

The third proportional to 102,418,704 and 149,739,696 is: 218,924,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418,704 : 149,739,696 = 149,739,696 : x
  2. Step 2: Convert to fraction form
    102,418,704/149,739,696 = 149,739,696/x
  3. Step 3: Cross multiply
    102,418,704x = 149,739,696 × 149,739,696
  4. Step 4: Simplify right side
    102,418,704x = 22,421,976,558,172,416
  5. Step 5: Solve for x
    x = 22,421,976,558,172,416/102,418,704
  6. Step 6: Final answer
    x = 218,924,626.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.