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Finding the Third Proportional to 104,046 and 227,916

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Solution

The third proportional to 104,046 and 227,916 is: 499,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,046 : 227,916 = 227,916 : x
  2. Step 2: Convert to fraction form
    104,046/227,916 = 227,916/x
  3. Step 3: Cross multiply
    104,046x = 227,916 × 227,916
  4. Step 4: Simplify right side
    104,046x = 51,945,703,056
  5. Step 5: Solve for x
    x = 51,945,703,056/104,046
  6. Step 6: Final answer
    x = 499,257.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.