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Finding the Third Proportional to 41,198.63 and 88,229.25

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Solution

The third proportional to 41,198.63 and 88,229.25 is: 188,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198.63 : 88,229.25 = 88,229.25 : x
  2. Step 2: Convert to fraction form
    41,198.63/88,229.25 = 88,229.25/x
  3. Step 3: Cross multiply
    41,198.63x = 88,229.25 × 88,229.25
  4. Step 4: Simplify right side
    41,198.63x = 7,784,400,555.56
  5. Step 5: Solve for x
    x = 7,784,400,555.56/41,198.63
  6. Step 6: Final answer
    x = 188,948.07

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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.