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Finding the Third Proportional to 95,018.48 and 206,575.73

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Solution

The third proportional to 95,018.48 and 206,575.73 is: 449,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,018.48 : 206,575.73 = 206,575.73 : x
  2. Step 2: Convert to fraction form
    95,018.48/206,575.73 = 206,575.73/x
  3. Step 3: Cross multiply
    95,018.48x = 206,575.73 × 206,575.73
  4. Step 4: Simplify right side
    95,018.48x = 42,673,534,032.57
  5. Step 5: Solve for x
    x = 42,673,534,032.57/95,018.48
  6. Step 6: Final answer
    x = 449,107.71

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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.