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Finding the Third Proportional to 100,292 and 220,268

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Solution

The third proportional to 100,292 and 220,268 is: 483,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292 : 220,268 = 220,268 : x
  2. Step 2: Convert to fraction form
    100,292/220,268 = 220,268/x
  3. Step 3: Cross multiply
    100,292x = 220,268 × 220,268
  4. Step 4: Simplify right side
    100,292x = 48,517,991,824
  5. Step 5: Solve for x
    x = 48,517,991,824/100,292
  6. Step 6: Final answer
    x = 483,767.32

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