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Finding the Third Proportional to 50,101.50 and 109,437

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Solution

The third proportional to 50,101.50 and 109,437 is: 239,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,101.50 : 109,437 = 109,437 : x
  2. Step 2: Convert to fraction form
    50,101.50/109,437 = 109,437/x
  3. Step 3: Cross multiply
    50,101.50x = 109,437 × 109,437
  4. Step 4: Simplify right side
    50,101.50x = 11,976,456,969
  5. Step 5: Solve for x
    x = 11,976,456,969/50,101.50
  6. Step 6: Final answer
    x = 239,043.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.