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Finding the Third Proportional to 95,385.94 and 207,174.38

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Solution

The third proportional to 95,385.94 and 207,174.38 is: 449,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,385.94 : 207,174.38 = 207,174.38 : x
  2. Step 2: Convert to fraction form
    95,385.94/207,174.38 = 207,174.38/x
  3. Step 3: Cross multiply
    95,385.94x = 207,174.38 × 207,174.38
  4. Step 4: Simplify right side
    95,385.94x = 42,921,221,656.64
  5. Step 5: Solve for x
    x = 42,921,221,656.64/95,385.94
  6. Step 6: Final answer
    x = 449,974.31

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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.