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Finding the Third Proportional to 108,469.13 and 233,234.44

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Solution

The third proportional to 108,469.13 and 233,234.44 is: 501,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,469.13 : 233,234.44 = 233,234.44 : x
  2. Step 2: Convert to fraction form
    108,469.13/233,234.44 = 233,234.44/x
  3. Step 3: Cross multiply
    108,469.13x = 233,234.44 × 233,234.44
  4. Step 4: Simplify right side
    108,469.13x = 54,398,302,835.94
  5. Step 5: Solve for x
    x = 54,398,302,835.94/108,469.13
  6. Step 6: Final answer
    x = 501,509.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.