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Finding the Third Proportional to 95,691.38 and 223,509.38

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Solution

The third proportional to 95,691.38 and 223,509.38 is: 522,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,691.38 : 223,509.38 = 223,509.38 : x
  2. Step 2: Convert to fraction form
    95,691.38/223,509.38 = 223,509.38/x
  3. Step 3: Cross multiply
    95,691.38x = 223,509.38 × 223,509.38
  4. Step 4: Simplify right side
    95,691.38x = 49,956,440,712.89
  5. Step 5: Solve for x
    x = 49,956,440,712.89/95,691.38
  6. Step 6: Final answer
    x = 522,057.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.