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Finding the Third Proportional to 50,498.25 and 109,353.75

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Solution

The third proportional to 50,498.25 and 109,353.75 is: 236,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.25 : 109,353.75 = 109,353.75 : x
  2. Step 2: Convert to fraction form
    50,498.25/109,353.75 = 109,353.75/x
  3. Step 3: Cross multiply
    50,498.25x = 109,353.75 × 109,353.75
  4. Step 4: Simplify right side
    50,498.25x = 11,958,242,639.06
  5. Step 5: Solve for x
    x = 11,958,242,639.06/50,498.25
  6. Step 6: Final answer
    x = 236,805.09

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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.