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Finding the Third Proportional to 109,211 and 239,836

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Solution

The third proportional to 109,211 and 239,836 is: 526,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,211 : 239,836 = 239,836 : x
  2. Step 2: Convert to fraction form
    109,211/239,836 = 239,836/x
  3. Step 3: Cross multiply
    109,211x = 239,836 × 239,836
  4. Step 4: Simplify right side
    109,211x = 57,521,306,896
  5. Step 5: Solve for x
    x = 57,521,306,896/109,211
  6. Step 6: Final answer
    x = 526,698.84

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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.