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Finding the Third Proportional to 83,814,849 and 125,206,101

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Solution

The third proportional to 83,814,849 and 125,206,101 is: 187,038,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,814,849 : 125,206,101 = 125,206,101 : x
  2. Step 2: Convert to fraction form
    83,814,849/125,206,101 = 125,206,101/x
  3. Step 3: Cross multiply
    83,814,849x = 125,206,101 × 125,206,101
  4. Step 4: Simplify right side
    83,814,849x = 15,676,567,727,622,200
  5. Step 5: Solve for x
    x = 15,676,567,727,622,200/83,814,849
  6. Step 6: Final answer
    x = 187,038,071.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.