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Finding the Third Proportional to 40,107.66 and 85,589.16

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Solution

The third proportional to 40,107.66 and 85,589.16 is: 182,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,107.66 : 85,589.16 = 85,589.16 : x
  2. Step 2: Convert to fraction form
    40,107.66/85,589.16 = 85,589.16/x
  3. Step 3: Cross multiply
    40,107.66x = 85,589.16 × 85,589.16
  4. Step 4: Simplify right side
    40,107.66x = 7,325,503,667.59
  5. Step 5: Solve for x
    x = 7,325,503,667.59/40,107.66
  6. Step 6: Final answer
    x = 182,646.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.