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Finding the Third Proportional to 109,015.50 and 233,793

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Solution

The third proportional to 109,015.50 and 233,793 is: 501,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,015.50 : 233,793 = 233,793 : x
  2. Step 2: Convert to fraction form
    109,015.50/233,793 = 233,793/x
  3. Step 3: Cross multiply
    109,015.50x = 233,793 × 233,793
  4. Step 4: Simplify right side
    109,015.50x = 54,659,166,849
  5. Step 5: Solve for x
    x = 54,659,166,849/109,015.50
  6. Step 6: Final answer
    x = 501,388.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.