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Finding the Third Proportional to 101,959 and 222,350

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Solution

The third proportional to 101,959 and 222,350 is: 484,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959 : 222,350 = 222,350 : x
  2. Step 2: Convert to fraction form
    101,959/222,350 = 222,350/x
  3. Step 3: Cross multiply
    101,959x = 222,350 × 222,350
  4. Step 4: Simplify right side
    101,959x = 49,439,522,500
  5. Step 5: Solve for x
    x = 49,439,522,500/101,959
  6. Step 6: Final answer
    x = 484,896.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.