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Finding the Third Proportional to 101,200.88 and 222,084.75

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Solution

The third proportional to 101,200.88 and 222,084.75 is: 487,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,200.88 : 222,084.75 = 222,084.75 : x
  2. Step 2: Convert to fraction form
    101,200.88/222,084.75 = 222,084.75/x
  3. Step 3: Cross multiply
    101,200.88x = 222,084.75 × 222,084.75
  4. Step 4: Simplify right side
    101,200.88x = 49,321,636,182.56
  5. Step 5: Solve for x
    x = 49,321,636,182.56/101,200.88
  6. Step 6: Final answer
    x = 487,363.73

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