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Finding the Third Proportional to 95,484.66 and 207,397.97

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Solution

The third proportional to 95,484.66 and 207,397.97 is: 450,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,484.66 : 207,397.97 = 207,397.97 : x
  2. Step 2: Convert to fraction form
    95,484.66/207,397.97 = 207,397.97/x
  3. Step 3: Cross multiply
    95,484.66x = 207,397.97 × 207,397.97
  4. Step 4: Simplify right side
    95,484.66x = 43,013,917,441.63
  5. Step 5: Solve for x
    x = 43,013,917,441.63/95,484.66
  6. Step 6: Final answer
    x = 450,479.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.