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Finding the Third Proportional to 100,266.75 and 222,947.25

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Solution

The third proportional to 100,266.75 and 222,947.25 is: 495,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266.75 : 222,947.25 = 222,947.25 : x
  2. Step 2: Convert to fraction form
    100,266.75/222,947.25 = 222,947.25/x
  3. Step 3: Cross multiply
    100,266.75x = 222,947.25 × 222,947.25
  4. Step 4: Simplify right side
    100,266.75x = 49,705,476,282.56
  5. Step 5: Solve for x
    x = 49,705,476,282.56/100,266.75
  6. Step 6: Final answer
    x = 495,732.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.