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Finding the Third Proportional to 85,393.13 and 185,550.75

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Solution

The third proportional to 85,393.13 and 185,550.75 is: 403,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,393.13 : 185,550.75 = 185,550.75 : x
  2. Step 2: Convert to fraction form
    85,393.13/185,550.75 = 185,550.75/x
  3. Step 3: Cross multiply
    85,393.13x = 185,550.75 × 185,550.75
  4. Step 4: Simplify right side
    85,393.13x = 34,429,080,825.56
  5. Step 5: Solve for x
    x = 34,429,080,825.56/85,393.13
  6. Step 6: Final answer
    x = 403,183.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.