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Finding the Third Proportional to 108,663.19 and 229,125.38

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Solution

The third proportional to 108,663.19 and 229,125.38 is: 483,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,663.19 : 229,125.38 = 229,125.38 : x
  2. Step 2: Convert to fraction form
    108,663.19/229,125.38 = 229,125.38/x
  3. Step 3: Cross multiply
    108,663.19x = 229,125.38 × 229,125.38
  4. Step 4: Simplify right side
    108,663.19x = 52,498,437,468.89
  5. Step 5: Solve for x
    x = 52,498,437,468.89/108,663.19
  6. Step 6: Final answer
    x = 483,129.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.