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Finding the Third Proportional to 22,198 and 47,222

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Solution

The third proportional to 22,198 and 47,222 is: 100,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198 : 47,222 = 47,222 : x
  2. Step 2: Convert to fraction form
    22,198/47,222 = 47,222/x
  3. Step 3: Cross multiply
    22,198x = 47,222 × 47,222
  4. Step 4: Simplify right side
    22,198x = 2,229,917,284
  5. Step 5: Solve for x
    x = 2,229,917,284/22,198
  6. Step 6: Final answer
    x = 100,455.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.