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Finding the Third Proportional to 40,832 and 98,816

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Solution

The third proportional to 40,832 and 98,816 is: 239,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,832 : 98,816 = 98,816 : x
  2. Step 2: Convert to fraction form
    40,832/98,816 = 98,816/x
  3. Step 3: Cross multiply
    40,832x = 98,816 × 98,816
  4. Step 4: Simplify right side
    40,832x = 9,764,601,856
  5. Step 5: Solve for x
    x = 9,764,601,856/40,832
  6. Step 6: Final answer
    x = 239,140.92

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.