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Finding the Third Proportional to 82,199.81 and 176,682.52

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Solution

The third proportional to 82,199.81 and 176,682.52 is: 379,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,199.81 : 176,682.52 = 176,682.52 : x
  2. Step 2: Convert to fraction form
    82,199.81/176,682.52 = 176,682.52/x
  3. Step 3: Cross multiply
    82,199.81x = 176,682.52 × 176,682.52
  4. Step 4: Simplify right side
    82,199.81x = 31,216,711,327.58
  5. Step 5: Solve for x
    x = 31,216,711,327.58/82,199.81
  6. Step 6: Final answer
    x = 379,766.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.