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Finding the Third Proportional to 100,833.75 and 221,351.25

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Solution

The third proportional to 100,833.75 and 221,351.25 is: 485,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,833.75 : 221,351.25 = 221,351.25 : x
  2. Step 2: Convert to fraction form
    100,833.75/221,351.25 = 221,351.25/x
  3. Step 3: Cross multiply
    100,833.75x = 221,351.25 × 221,351.25
  4. Step 4: Simplify right side
    100,833.75x = 48,996,375,876.56
  5. Step 5: Solve for x
    x = 48,996,375,876.56/100,833.75
  6. Step 6: Final answer
    x = 485,912.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.