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Finding the Third Proportional to 95,676 and 208,839

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Solution

The third proportional to 95,676 and 208,839 is: 455,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,676 : 208,839 = 208,839 : x
  2. Step 2: Convert to fraction form
    95,676/208,839 = 208,839/x
  3. Step 3: Cross multiply
    95,676x = 208,839 × 208,839
  4. Step 4: Simplify right side
    95,676x = 43,613,727,921
  5. Step 5: Solve for x
    x = 43,613,727,921/95,676
  6. Step 6: Final answer
    x = 455,848.15

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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.