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Finding the Third Proportional to 41,843.25 and 98,158.50

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Solution

The third proportional to 41,843.25 and 98,158.50 is: 230,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,843.25 : 98,158.50 = 98,158.50 : x
  2. Step 2: Convert to fraction form
    41,843.25/98,158.50 = 98,158.50/x
  3. Step 3: Cross multiply
    41,843.25x = 98,158.50 × 98,158.50
  4. Step 4: Simplify right side
    41,843.25x = 9,635,091,122.25
  5. Step 5: Solve for x
    x = 9,635,091,122.25/41,843.25
  6. Step 6: Final answer
    x = 230,266.32

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.