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Finding the Third Proportional to 41,575.22 and 91,198.41

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Solution

The third proportional to 41,575.22 and 91,198.41 is: 200,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,575.22 : 91,198.41 = 91,198.41 : x
  2. Step 2: Convert to fraction form
    41,575.22/91,198.41 = 91,198.41/x
  3. Step 3: Cross multiply
    41,575.22x = 91,198.41 × 91,198.41
  4. Step 4: Simplify right side
    41,575.22x = 8,317,149,302.54
  5. Step 5: Solve for x
    x = 8,317,149,302.54/41,575.22
  6. Step 6: Final answer
    x = 200,050.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.