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Finding the Third Proportional to 96,096.38 and 229,512.38

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Solution

The third proportional to 96,096.38 and 229,512.38 is: 548,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096.38 : 229,512.38 = 229,512.38 : x
  2. Step 2: Convert to fraction form
    96,096.38/229,512.38 = 229,512.38/x
  3. Step 3: Cross multiply
    96,096.38x = 229,512.38 × 229,512.38
  4. Step 4: Simplify right side
    96,096.38x = 52,675,930,278.14
  5. Step 5: Solve for x
    x = 52,675,930,278.14/96,096.38
  6. Step 6: Final answer
    x = 548,157.31

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.