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Finding the Third Proportional to 83,105,008 and 124,192,382

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Solution

The third proportional to 83,105,008 and 124,192,382 is: 185,593,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105,008 : 124,192,382 = 124,192,382 : x
  2. Step 2: Convert to fraction form
    83,105,008/124,192,382 = 124,192,382/x
  3. Step 3: Cross multiply
    83,105,008x = 124,192,382 × 124,192,382
  4. Step 4: Simplify right side
    83,105,008x = 15,423,747,746,833,924
  5. Step 5: Solve for x
    x = 15,423,747,746,833,924/83,105,008
  6. Step 6: Final answer
    x = 185,593,481.28

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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.