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Finding the Third Proportional to 40,216.69 and 85,776.75

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Solution

The third proportional to 40,216.69 and 85,776.75 is: 182,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216.69 : 85,776.75 = 85,776.75 : x
  2. Step 2: Convert to fraction form
    40,216.69/85,776.75 = 85,776.75/x
  3. Step 3: Cross multiply
    40,216.69x = 85,776.75 × 85,776.75
  4. Step 4: Simplify right side
    40,216.69x = 7,357,650,840.56
  5. Step 5: Solve for x
    x = 7,357,650,840.56/40,216.69
  6. Step 6: Final answer
    x = 182,950.20

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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.