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Finding the Third Proportional to 106,797.75 and 227,399.25

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Solution

The third proportional to 106,797.75 and 227,399.25 is: 484,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,797.75 : 227,399.25 = 227,399.25 : x
  2. Step 2: Convert to fraction form
    106,797.75/227,399.25 = 227,399.25/x
  3. Step 3: Cross multiply
    106,797.75x = 227,399.25 × 227,399.25
  4. Step 4: Simplify right side
    106,797.75x = 51,710,418,900.56
  5. Step 5: Solve for x
    x = 51,710,418,900.56/106,797.75
  6. Step 6: Final answer
    x = 484,190.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.