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Finding the Third Proportional to 83,178,049 and 185,481,385

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Solution

The third proportional to 83,178,049 and 185,481,385 is: 413,610,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,049 : 185,481,385 = 185,481,385 : x
  2. Step 2: Convert to fraction form
    83,178,049/185,481,385 = 185,481,385/x
  3. Step 3: Cross multiply
    83,178,049x = 185,481,385 × 185,481,385
  4. Step 4: Simplify right side
    83,178,049x = 34,403,344,181,518,224
  5. Step 5: Solve for x
    x = 34,403,344,181,518,224/83,178,049
  6. Step 6: Final answer
    x = 413,610,857.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.