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Finding the Third Proportional to 95,695.13 and 206,013.75

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Solution

The third proportional to 95,695.13 and 206,013.75 is: 443,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,695.13 : 206,013.75 = 206,013.75 : x
  2. Step 2: Convert to fraction form
    95,695.13/206,013.75 = 206,013.75/x
  3. Step 3: Cross multiply
    95,695.13x = 206,013.75 × 206,013.75
  4. Step 4: Simplify right side
    95,695.13x = 42,441,665,189.06
  5. Step 5: Solve for x
    x = 42,441,665,189.06/95,695.13
  6. Step 6: Final answer
    x = 443,509.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.