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Finding the Third Proportional to 95,694.75 and 206,013.38

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Solution

The third proportional to 95,694.75 and 206,013.38 is: 443,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,694.75 : 206,013.38 = 206,013.38 : x
  2. Step 2: Convert to fraction form
    95,694.75/206,013.38 = 206,013.38/x
  3. Step 3: Cross multiply
    95,694.75x = 206,013.38 × 206,013.38
  4. Step 4: Simplify right side
    95,694.75x = 42,441,510,678.89
  5. Step 5: Solve for x
    x = 42,441,510,678.89/95,694.75
  6. Step 6: Final answer
    x = 443,509.29

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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.