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Finding the Third Proportional to 96,663.38 and 212,238.75

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Solution

The third proportional to 96,663.38 and 212,238.75 is: 466,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,663.38 : 212,238.75 = 212,238.75 : x
  2. Step 2: Convert to fraction form
    96,663.38/212,238.75 = 212,238.75/x
  3. Step 3: Cross multiply
    96,663.38x = 212,238.75 × 212,238.75
  4. Step 4: Simplify right side
    96,663.38x = 45,045,287,001.56
  5. Step 5: Solve for x
    x = 45,045,287,001.56/96,663.38
  6. Step 6: Final answer
    x = 466,001.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.