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Finding the Third Proportional to 81,422.72 and 179,409.94

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Solution

The third proportional to 81,422.72 and 179,409.94 is: 395,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,422.72 : 179,409.94 = 179,409.94 : x
  2. Step 2: Convert to fraction form
    81,422.72/179,409.94 = 179,409.94/x
  3. Step 3: Cross multiply
    81,422.72x = 179,409.94 × 179,409.94
  4. Step 4: Simplify right side
    81,422.72x = 32,187,925,673.75
  5. Step 5: Solve for x
    x = 32,187,925,673.75/81,422.72
  6. Step 6: Final answer
    x = 395,318.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.