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Finding the Third Proportional to 106,983 and 227,027.25

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Solution

The third proportional to 106,983 and 227,027.25 is: 481,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983 : 227,027.25 = 227,027.25 : x
  2. Step 2: Convert to fraction form
    106,983/227,027.25 = 227,027.25/x
  3. Step 3: Cross multiply
    106,983x = 227,027.25 × 227,027.25
  4. Step 4: Simplify right side
    106,983x = 51,541,372,242.56
  5. Step 5: Solve for x
    x = 51,541,372,242.56/106,983
  6. Step 6: Final answer
    x = 481,771.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.