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Finding the Third Proportional to 83,049.89 and 181,323.56

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Solution

The third proportional to 83,049.89 and 181,323.56 is: 395,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,049.89 : 181,323.56 = 181,323.56 : x
  2. Step 2: Convert to fraction form
    83,049.89/181,323.56 = 181,323.56/x
  3. Step 3: Cross multiply
    83,049.89x = 181,323.56 × 181,323.56
  4. Step 4: Simplify right side
    83,049.89x = 32,878,234,317.69
  5. Step 5: Solve for x
    x = 32,878,234,317.69/83,049.89
  6. Step 6: Final answer
    x = 395,885.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.