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Finding the Third Proportional to 44,084 and 98,008

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Solution

The third proportional to 44,084 and 98,008 is: 217,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,084 : 98,008 = 98,008 : x
  2. Step 2: Convert to fraction form
    44,084/98,008 = 98,008/x
  3. Step 3: Cross multiply
    44,084x = 98,008 × 98,008
  4. Step 4: Simplify right side
    44,084x = 9,605,568,064
  5. Step 5: Solve for x
    x = 9,605,568,064/44,084
  6. Step 6: Final answer
    x = 217,892.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.