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Finding the Third Proportional to 37,236.94 and 81,990.56

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Solution

The third proportional to 37,236.94 and 81,990.56 is: 180,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,236.94 : 81,990.56 = 81,990.56 : x
  2. Step 2: Convert to fraction form
    37,236.94/81,990.56 = 81,990.56/x
  3. Step 3: Cross multiply
    37,236.94x = 81,990.56 × 81,990.56
  4. Step 4: Simplify right side
    37,236.94x = 6,722,452,339.07
  5. Step 5: Solve for x
    x = 6,722,452,339.07/37,236.94
  6. Step 6: Final answer
    x = 180,531.83

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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.