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Finding the Third Proportional to 41,615.86 and 91,714.78

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Solution

The third proportional to 41,615.86 and 91,714.78 is: 202,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,615.86 : 91,714.78 = 91,714.78 : x
  2. Step 2: Convert to fraction form
    41,615.86/91,714.78 = 91,714.78/x
  3. Step 3: Cross multiply
    41,615.86x = 91,714.78 × 91,714.78
  4. Step 4: Simplify right side
    41,615.86x = 8,411,601,099.74
  5. Step 5: Solve for x
    x = 8,411,601,099.74/41,615.86
  6. Step 6: Final answer
    x = 202,124.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.