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Finding the Third Proportional to 98,845 and 211,992

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Solution

The third proportional to 98,845 and 211,992 is: 454,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,845 : 211,992 = 211,992 : x
  2. Step 2: Convert to fraction form
    98,845/211,992 = 211,992/x
  3. Step 3: Cross multiply
    98,845x = 211,992 × 211,992
  4. Step 4: Simplify right side
    98,845x = 44,940,608,064
  5. Step 5: Solve for x
    x = 44,940,608,064/98,845
  6. Step 6: Final answer
    x = 454,657.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.