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Finding the Third Proportional to 82,320.05 and 171,098.58

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Solution

The third proportional to 82,320.05 and 171,098.58 is: 355,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,320.05 : 171,098.58 = 171,098.58 : x
  2. Step 2: Convert to fraction form
    82,320.05/171,098.58 = 171,098.58/x
  3. Step 3: Cross multiply
    82,320.05x = 171,098.58 × 171,098.58
  4. Step 4: Simplify right side
    82,320.05x = 29,274,723,436.40
  5. Step 5: Solve for x
    x = 29,274,723,436.40/82,320.05
  6. Step 6: Final answer
    x = 355,620.83

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.