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Finding the Third Proportional to 43,013.25 and 92,617.88

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Solution

The third proportional to 43,013.25 and 92,617.88 is: 199,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,013.25 : 92,617.88 = 92,617.88 : x
  2. Step 2: Convert to fraction form
    43,013.25/92,617.88 = 92,617.88/x
  3. Step 3: Cross multiply
    43,013.25x = 92,617.88 × 92,617.88
  4. Step 4: Simplify right side
    43,013.25x = 8,578,070,769.52
  5. Step 5: Solve for x
    x = 8,578,070,769.52/43,013.25
  6. Step 6: Final answer
    x = 199,428.57

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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.