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Finding the Third Proportional to 48,328 and 98,022

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Solution

The third proportional to 48,328 and 98,022 is: 198,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,328 : 98,022 = 98,022 : x
  2. Step 2: Convert to fraction form
    48,328/98,022 = 98,022/x
  3. Step 3: Cross multiply
    48,328x = 98,022 × 98,022
  4. Step 4: Simplify right side
    48,328x = 9,608,312,484
  5. Step 5: Solve for x
    x = 9,608,312,484/48,328
  6. Step 6: Final answer
    x = 198,814.61

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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.