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Finding the Third Proportional to 108,909.56 and 234,504.49

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Solution

The third proportional to 108,909.56 and 234,504.49 is: 504,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,909.56 : 234,504.49 = 234,504.49 : x
  2. Step 2: Convert to fraction form
    108,909.56/234,504.49 = 234,504.49/x
  3. Step 3: Cross multiply
    108,909.56x = 234,504.49 × 234,504.49
  4. Step 4: Simplify right side
    108,909.56x = 54,992,356,856.12
  5. Step 5: Solve for x
    x = 54,992,356,856.12/108,909.56
  6. Step 6: Final answer
    x = 504,935.98

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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.