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Finding the Third Proportional to 41,198.06 and 85,676.06

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Solution

The third proportional to 41,198.06 and 85,676.06 is: 178,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198.06 : 85,676.06 = 85,676.06 : x
  2. Step 2: Convert to fraction form
    41,198.06/85,676.06 = 85,676.06/x
  3. Step 3: Cross multiply
    41,198.06x = 85,676.06 × 85,676.06
  4. Step 4: Simplify right side
    41,198.06x = 7,340,387,685.50
  5. Step 5: Solve for x
    x = 7,340,387,685.50/41,198.06
  6. Step 6: Final answer
    x = 178,173.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.