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Finding the Third Proportional to 95,801 and 208,387

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Solution

The third proportional to 95,801 and 208,387 is: 453,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,801 : 208,387 = 208,387 : x
  2. Step 2: Convert to fraction form
    95,801/208,387 = 208,387/x
  3. Step 3: Cross multiply
    95,801x = 208,387 × 208,387
  4. Step 4: Simplify right side
    95,801x = 43,425,141,769
  5. Step 5: Solve for x
    x = 43,425,141,769/95,801
  6. Step 6: Final answer
    x = 453,284.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.