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Finding the Third Proportional to 38,401.31 and 79,868.81

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Solution

The third proportional to 38,401.31 and 79,868.81 is: 166,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401.31 : 79,868.81 = 79,868.81 : x
  2. Step 2: Convert to fraction form
    38,401.31/79,868.81 = 79,868.81/x
  3. Step 3: Cross multiply
    38,401.31x = 79,868.81 × 79,868.81
  4. Step 4: Simplify right side
    38,401.31x = 6,379,027,210.16
  5. Step 5: Solve for x
    x = 6,379,027,210.16/38,401.31
  6. Step 6: Final answer
    x = 166,114.82

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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.