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Finding the Third Proportional to 108,463.50 and 225,129.38

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Solution

The third proportional to 108,463.50 and 225,129.38 is: 467,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,463.50 : 225,129.38 = 225,129.38 : x
  2. Step 2: Convert to fraction form
    108,463.50/225,129.38 = 225,129.38/x
  3. Step 3: Cross multiply
    108,463.50x = 225,129.38 × 225,129.38
  4. Step 4: Simplify right side
    108,463.50x = 50,683,235,487.89
  5. Step 5: Solve for x
    x = 50,683,235,487.89/108,463.50
  6. Step 6: Final answer
    x = 467,283.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.