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Finding the Third Proportional to 82,650.38 and 179,323.88

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Solution

The third proportional to 82,650.38 and 179,323.88 is: 389,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,650.38 : 179,323.88 = 179,323.88 : x
  2. Step 2: Convert to fraction form
    82,650.38/179,323.88 = 179,323.88/x
  3. Step 3: Cross multiply
    82,650.38x = 179,323.88 × 179,323.88
  4. Step 4: Simplify right side
    82,650.38x = 32,157,052,145.02
  5. Step 5: Solve for x
    x = 32,157,052,145.02/82,650.38
  6. Step 6: Final answer
    x = 389,073.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.