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Finding the Third Proportional to 82,101.94 and 176,865.19

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Solution

The third proportional to 82,101.94 and 176,865.19 is: 381,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,101.94 : 176,865.19 = 176,865.19 : x
  2. Step 2: Convert to fraction form
    82,101.94/176,865.19 = 176,865.19/x
  3. Step 3: Cross multiply
    82,101.94x = 176,865.19 × 176,865.19
  4. Step 4: Simplify right side
    82,101.94x = 31,281,294,549.41
  5. Step 5: Solve for x
    x = 31,281,294,549.41/82,101.94
  6. Step 6: Final answer
    x = 381,005.56

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