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Finding the Third Proportional to 104,096 and 223,979

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Solution

The third proportional to 104,096 and 223,979 is: 481,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,096 : 223,979 = 223,979 : x
  2. Step 2: Convert to fraction form
    104,096/223,979 = 223,979/x
  3. Step 3: Cross multiply
    104,096x = 223,979 × 223,979
  4. Step 4: Simplify right side
    104,096x = 50,166,592,441
  5. Step 5: Solve for x
    x = 50,166,592,441/104,096
  6. Step 6: Final answer
    x = 481,926.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.