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Finding the Third Proportional to 41,856.75 and 98,566.88

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Solution

The third proportional to 41,856.75 and 98,566.88 is: 232,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.75 : 98,566.88 = 98,566.88 : x
  2. Step 2: Convert to fraction form
    41,856.75/98,566.88 = 98,566.88/x
  3. Step 3: Cross multiply
    41,856.75x = 98,566.88 × 98,566.88
  4. Step 4: Simplify right side
    41,856.75x = 9,715,428,847.27
  5. Step 5: Solve for x
    x = 9,715,428,847.27/41,856.75
  6. Step 6: Final answer
    x = 232,111.40

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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.