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Finding the Third Proportional to 40,268.81 and 87,454.69

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Solution

The third proportional to 40,268.81 and 87,454.69 is: 189,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,268.81 : 87,454.69 = 87,454.69 : x
  2. Step 2: Convert to fraction form
    40,268.81/87,454.69 = 87,454.69/x
  3. Step 3: Cross multiply
    40,268.81x = 87,454.69 × 87,454.69
  4. Step 4: Simplify right side
    40,268.81x = 7,648,322,365.72
  5. Step 5: Solve for x
    x = 7,648,322,365.72/40,268.81
  6. Step 6: Final answer
    x = 189,931.66

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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.