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Finding the Third Proportional to 50,418 and 108,694.50

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Solution

The third proportional to 50,418 and 108,694.50 is: 234,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,418 : 108,694.50 = 108,694.50 : x
  2. Step 2: Convert to fraction form
    50,418/108,694.50 = 108,694.50/x
  3. Step 3: Cross multiply
    50,418x = 108,694.50 × 108,694.50
  4. Step 4: Simplify right side
    50,418x = 11,814,494,330.25
  5. Step 5: Solve for x
    x = 11,814,494,330.25/50,418
  6. Step 6: Final answer
    x = 234,330.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.