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Finding the Third Proportional to 80,255.81 and 189,797.55

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Solution

The third proportional to 80,255.81 and 189,797.55 is: 448,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,255.81 : 189,797.55 = 189,797.55 : x
  2. Step 2: Convert to fraction form
    80,255.81/189,797.55 = 189,797.55/x
  3. Step 3: Cross multiply
    80,255.81x = 189,797.55 × 189,797.55
  4. Step 4: Simplify right side
    80,255.81x = 36,023,111,765.35
  5. Step 5: Solve for x
    x = 36,023,111,765.35/80,255.81
  6. Step 6: Final answer
    x = 448,853.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.