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Finding the Third Proportional to 83,814,820 and 125,206,044

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Solution

The third proportional to 83,814,820 and 125,206,044 is: 187,037,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,814,820 : 125,206,044 = 125,206,044 : x
  2. Step 2: Convert to fraction form
    83,814,820/125,206,044 = 125,206,044/x
  3. Step 3: Cross multiply
    83,814,820x = 125,206,044 × 125,206,044
  4. Step 4: Simplify right side
    83,814,820x = 15,676,553,454,129,936
  5. Step 5: Solve for x
    x = 15,676,553,454,129,936/83,814,820
  6. Step 6: Final answer
    x = 187,037,966.01

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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.