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Finding the Third Proportional to 40,216.50 and 85,773.94

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Solution

The third proportional to 40,216.50 and 85,773.94 is: 182,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216.50 : 85,773.94 = 85,773.94 : x
  2. Step 2: Convert to fraction form
    40,216.50/85,773.94 = 85,773.94/x
  3. Step 3: Cross multiply
    40,216.50x = 85,773.94 × 85,773.94
  4. Step 4: Simplify right side
    40,216.50x = 7,357,168,354.25
  5. Step 5: Solve for x
    x = 7,357,168,354.25/40,216.50
  6. Step 6: Final answer
    x = 182,939.05

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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.