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Finding the Third Proportional to 22,198 and 48,314

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Solution

The third proportional to 22,198 and 48,314 is: 105,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198 : 48,314 = 48,314 : x
  2. Step 2: Convert to fraction form
    22,198/48,314 = 48,314/x
  3. Step 3: Cross multiply
    22,198x = 48,314 × 48,314
  4. Step 4: Simplify right side
    22,198x = 2,334,242,596
  5. Step 5: Solve for x
    x = 2,334,242,596/22,198
  6. Step 6: Final answer
    x = 105,155.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.