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Finding the Third Proportional to 103,896 and 227,004

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Solution

The third proportional to 103,896 and 227,004 is: 495,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896 : 227,004 = 227,004 : x
  2. Step 2: Convert to fraction form
    103,896/227,004 = 227,004/x
  3. Step 3: Cross multiply
    103,896x = 227,004 × 227,004
  4. Step 4: Simplify right side
    103,896x = 51,530,816,016
  5. Step 5: Solve for x
    x = 51,530,816,016/103,896
  6. Step 6: Final answer
    x = 495,984.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.