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Finding the Third Proportional to 96,467.25 and 206,778.75

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Solution

The third proportional to 96,467.25 and 206,778.75 is: 443,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,467.25 : 206,778.75 = 206,778.75 : x
  2. Step 2: Convert to fraction form
    96,467.25/206,778.75 = 206,778.75/x
  3. Step 3: Cross multiply
    96,467.25x = 206,778.75 × 206,778.75
  4. Step 4: Simplify right side
    96,467.25x = 42,757,451,451.56
  5. Step 5: Solve for x
    x = 42,757,451,451.56/96,467.25
  6. Step 6: Final answer
    x = 443,232.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.