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Finding the Third Proportional to 80,868.38 and 172,109.81

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Solution

The third proportional to 80,868.38 and 172,109.81 is: 366,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,868.38 : 172,109.81 = 172,109.81 : x
  2. Step 2: Convert to fraction form
    80,868.38/172,109.81 = 172,109.81/x
  3. Step 3: Cross multiply
    80,868.38x = 172,109.81 × 172,109.81
  4. Step 4: Simplify right side
    80,868.38x = 29,621,787,558.79
  5. Step 5: Solve for x
    x = 29,621,787,558.79/80,868.38
  6. Step 6: Final answer
    x = 366,296.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.