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Finding the Third Proportional to 92,646,129 and 123,513,663

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Solution

The third proportional to 92,646,129 and 123,513,663 is: 164,665,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646,129 : 123,513,663 = 123,513,663 : x
  2. Step 2: Convert to fraction form
    92,646,129/123,513,663 = 123,513,663/x
  3. Step 3: Cross multiply
    92,646,129x = 123,513,663 × 123,513,663
  4. Step 4: Simplify right side
    92,646,129x = 15,255,624,947,677,568
  5. Step 5: Solve for x
    x = 15,255,624,947,677,568/92,646,129
  6. Step 6: Final answer
    x = 164,665,540.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.