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Finding the Third Proportional to 22,198.75 and 47,222.75

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Solution

The third proportional to 22,198.75 and 47,222.75 is: 100,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.75 : 47,222.75 = 47,222.75 : x
  2. Step 2: Convert to fraction form
    22,198.75/47,222.75 = 47,222.75/x
  3. Step 3: Cross multiply
    22,198.75x = 47,222.75 × 47,222.75
  4. Step 4: Simplify right side
    22,198.75x = 2,229,988,117.56
  5. Step 5: Solve for x
    x = 2,229,988,117.56/22,198.75
  6. Step 6: Final answer
    x = 100,455.57

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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.