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Finding the Third Proportional to 108,665.13 and 229,129.25

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Solution

The third proportional to 108,665.13 and 229,129.25 is: 483,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,665.13 : 229,129.25 = 229,129.25 : x
  2. Step 2: Convert to fraction form
    108,665.13/229,129.25 = 229,129.25/x
  3. Step 3: Cross multiply
    108,665.13x = 229,129.25 × 229,129.25
  4. Step 4: Simplify right side
    108,665.13x = 52,500,213,205.56
  5. Step 5: Solve for x
    x = 52,500,213,205.56/108,665.13
  6. Step 6: Final answer
    x = 483,137.65

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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.