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Finding the Third Proportional to 67,986 and 159,964.88

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Solution

The third proportional to 67,986 and 159,964.88 is: 376,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,986 : 159,964.88 = 159,964.88 : x
  2. Step 2: Convert to fraction form
    67,986/159,964.88 = 159,964.88/x
  3. Step 3: Cross multiply
    67,986x = 159,964.88 × 159,964.88
  4. Step 4: Simplify right side
    67,986x = 25,588,761,233.77
  5. Step 5: Solve for x
    x = 25,588,761,233.77/67,986
  6. Step 6: Final answer
    x = 376,382.80

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.