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Finding the Third Proportional to 109,011.75 and 226,224.75

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Solution

The third proportional to 109,011.75 and 226,224.75 is: 469,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,011.75 : 226,224.75 = 226,224.75 : x
  2. Step 2: Convert to fraction form
    109,011.75/226,224.75 = 226,224.75/x
  3. Step 3: Cross multiply
    109,011.75x = 226,224.75 × 226,224.75
  4. Step 4: Simplify right side
    109,011.75x = 51,177,637,512.56
  5. Step 5: Solve for x
    x = 51,177,637,512.56/109,011.75
  6. Step 6: Final answer
    x = 469,469.00

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.