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Finding the Third Proportional to 81,990.56 and 179,168.63

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Solution

The third proportional to 81,990.56 and 179,168.63 is: 391,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,990.56 : 179,168.63 = 179,168.63 : x
  2. Step 2: Convert to fraction form
    81,990.56/179,168.63 = 179,168.63/x
  3. Step 3: Cross multiply
    81,990.56x = 179,168.63 × 179,168.63
  4. Step 4: Simplify right side
    81,990.56x = 32,101,396,184.39
  5. Step 5: Solve for x
    x = 32,101,396,184.39/81,990.56
  6. Step 6: Final answer
    x = 391,525.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.