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Finding the Third Proportional to 41,513.44 and 88,932.56

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Solution

The third proportional to 41,513.44 and 88,932.56 is: 190,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,513.44 : 88,932.56 = 88,932.56 : x
  2. Step 2: Convert to fraction form
    41,513.44/88,932.56 = 88,932.56/x
  3. Step 3: Cross multiply
    41,513.44x = 88,932.56 × 88,932.56
  4. Step 4: Simplify right side
    41,513.44x = 7,909,000,672.82
  5. Step 5: Solve for x
    x = 7,909,000,672.82/41,513.44
  6. Step 6: Final answer
    x = 190,516.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.