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Finding the Third Proportional to 101,334 and 219,976

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Solution

The third proportional to 101,334 and 219,976 is: 477,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,334 : 219,976 = 219,976 : x
  2. Step 2: Convert to fraction form
    101,334/219,976 = 219,976/x
  3. Step 3: Cross multiply
    101,334x = 219,976 × 219,976
  4. Step 4: Simplify right side
    101,334x = 48,389,440,576
  5. Step 5: Solve for x
    x = 48,389,440,576/101,334
  6. Step 6: Final answer
    x = 477,524.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.