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Finding the Third Proportional to 83,105,005 and 124,192,378

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Solution

The third proportional to 83,105,005 and 124,192,378 is: 185,593,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105,005 : 124,192,378 = 124,192,378 : x
  2. Step 2: Convert to fraction form
    83,105,005/124,192,378 = 124,192,378/x
  3. Step 3: Cross multiply
    83,105,005x = 124,192,378 × 124,192,378
  4. Step 4: Simplify right side
    83,105,005x = 15,423,746,753,294,884
  5. Step 5: Solve for x
    x = 15,423,746,753,294,884/83,105,005
  6. Step 6: Final answer
    x = 185,593,476.03

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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.