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Finding the Third Proportional to 104,811 and 226,218.38

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Solution

The third proportional to 104,811 and 226,218.38 is: 488,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,811 : 226,218.38 = 226,218.38 : x
  2. Step 2: Convert to fraction form
    104,811/226,218.38 = 226,218.38/x
  3. Step 3: Cross multiply
    104,811x = 226,218.38 × 226,218.38
  4. Step 4: Simplify right side
    104,811x = 51,174,753,187.64
  5. Step 5: Solve for x
    x = 51,174,753,187.64/104,811
  6. Step 6: Final answer
    x = 488,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.