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Finding the Third Proportional to 48,809 and 99,922

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Solution

The third proportional to 48,809 and 99,922 is: 204,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,809 : 99,922 = 99,922 : x
  2. Step 2: Convert to fraction form
    48,809/99,922 = 99,922/x
  3. Step 3: Cross multiply
    48,809x = 99,922 × 99,922
  4. Step 4: Simplify right side
    48,809x = 9,984,406,084
  5. Step 5: Solve for x
    x = 9,984,406,084/48,809
  6. Step 6: Final answer
    x = 204,560.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.