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Finding the Third Proportional to 108,889.88 and 234,462.38

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Solution

The third proportional to 108,889.88 and 234,462.38 is: 504,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,889.88 : 234,462.38 = 234,462.38 : x
  2. Step 2: Convert to fraction form
    108,889.88/234,462.38 = 234,462.38/x
  3. Step 3: Cross multiply
    108,889.88x = 234,462.38 × 234,462.38
  4. Step 4: Simplify right side
    108,889.88x = 54,972,605,290.64
  5. Step 5: Solve for x
    x = 54,972,605,290.64/108,889.88
  6. Step 6: Final answer
    x = 504,845.88

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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.