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Finding the Third Proportional to 64,033.82 and 140,523.29

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Solution

The third proportional to 64,033.82 and 140,523.29 is: 308,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,033.82 : 140,523.29 = 140,523.29 : x
  2. Step 2: Convert to fraction form
    64,033.82/140,523.29 = 140,523.29/x
  3. Step 3: Cross multiply
    64,033.82x = 140,523.29 × 140,523.29
  4. Step 4: Simplify right side
    64,033.82x = 19,746,795,866.78
  5. Step 5: Solve for x
    x = 19,746,795,866.78/64,033.82
  6. Step 6: Final answer
    x = 308,380.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.