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Finding the Third Proportional to 45,046.13 and 98,961.75

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Solution

The third proportional to 45,046.13 and 98,961.75 is: 217,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,046.13 : 98,961.75 = 98,961.75 : x
  2. Step 2: Convert to fraction form
    45,046.13/98,961.75 = 98,961.75/x
  3. Step 3: Cross multiply
    45,046.13x = 98,961.75 × 98,961.75
  4. Step 4: Simplify right side
    45,046.13x = 9,793,427,963.06
  5. Step 5: Solve for x
    x = 9,793,427,963.06/45,046.13
  6. Step 6: Final answer
    x = 217,408.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.