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Finding the Third Proportional to 102,536,751 and 146,522,587

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Solution

The third proportional to 102,536,751 and 146,522,587 is: 209,377,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536,751 : 146,522,587 = 146,522,587 : x
  2. Step 2: Convert to fraction form
    102,536,751/146,522,587 = 146,522,587/x
  3. Step 3: Cross multiply
    102,536,751x = 146,522,587 × 146,522,587
  4. Step 4: Simplify right side
    102,536,751x = 21,468,868,501,172,568
  5. Step 5: Solve for x
    x = 21,468,868,501,172,568/102,536,751
  6. Step 6: Final answer
    x = 209,377,304.15

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.