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Finding the Third Proportional to 96,342.75 and 213,337.13

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Solution

The third proportional to 96,342.75 and 213,337.13 is: 472,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,342.75 : 213,337.13 = 213,337.13 : x
  2. Step 2: Convert to fraction form
    96,342.75/213,337.13 = 213,337.13/x
  3. Step 3: Cross multiply
    96,342.75x = 213,337.13 × 213,337.13
  4. Step 4: Simplify right side
    96,342.75x = 45,512,728,903.27
  5. Step 5: Solve for x
    x = 45,512,728,903.27/96,342.75
  6. Step 6: Final answer
    x = 472,404.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.