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Finding the Third Proportional to 108,180.56 and 236,773.13

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Solution

The third proportional to 108,180.56 and 236,773.13 is: 518,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,180.56 : 236,773.13 = 236,773.13 : x
  2. Step 2: Convert to fraction form
    108,180.56/236,773.13 = 236,773.13/x
  3. Step 3: Cross multiply
    108,180.56x = 236,773.13 × 236,773.13
  4. Step 4: Simplify right side
    108,180.56x = 56,061,512,722.27
  5. Step 5: Solve for x
    x = 56,061,512,722.27/108,180.56
  6. Step 6: Final answer
    x = 518,221.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.