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Finding the Third Proportional to 103,886 and 227,546

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Solution

The third proportional to 103,886 and 227,546 is: 498,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,886 : 227,546 = 227,546 : x
  2. Step 2: Convert to fraction form
    103,886/227,546 = 227,546/x
  3. Step 3: Cross multiply
    103,886x = 227,546 × 227,546
  4. Step 4: Simplify right side
    103,886x = 51,777,182,116
  5. Step 5: Solve for x
    x = 51,777,182,116/103,886
  6. Step 6: Final answer
    x = 498,403.85

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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.