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Finding the Third Proportional to 92,646,134 and 123,513,668

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Solution

The third proportional to 92,646,134 and 123,513,668 is: 164,665,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646,134 : 123,513,668 = 123,513,668 : x
  2. Step 2: Convert to fraction form
    92,646,134/123,513,668 = 123,513,668/x
  3. Step 3: Cross multiply
    92,646,134x = 123,513,668 × 123,513,668
  4. Step 4: Simplify right side
    92,646,134x = 15,255,626,182,814,224
  5. Step 5: Solve for x
    x = 15,255,626,182,814,224/92,646,134
  6. Step 6: Final answer
    x = 164,665,545.38

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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.