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Finding the Third Proportional to 101,872.27 and 222,675.75

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Solution

The third proportional to 101,872.27 and 222,675.75 is: 486,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.27 : 222,675.75 = 222,675.75 : x
  2. Step 2: Convert to fraction form
    101,872.27/222,675.75 = 222,675.75/x
  3. Step 3: Cross multiply
    101,872.27x = 222,675.75 × 222,675.75
  4. Step 4: Simplify right side
    101,872.27x = 49,584,489,638.06
  5. Step 5: Solve for x
    x = 49,584,489,638.06/101,872.27
  6. Step 6: Final answer
    x = 486,731.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.