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Finding the Third Proportional to 48,325 and 98,016

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Solution

The third proportional to 48,325 and 98,016 is: 198,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,325 : 98,016 = 98,016 : x
  2. Step 2: Convert to fraction form
    48,325/98,016 = 98,016/x
  3. Step 3: Cross multiply
    48,325x = 98,016 × 98,016
  4. Step 4: Simplify right side
    48,325x = 9,607,136,256
  5. Step 5: Solve for x
    x = 9,607,136,256/48,325
  6. Step 6: Final answer
    x = 198,802.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.