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Finding the Third Proportional to 100,096 and 219,879

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Solution

The third proportional to 100,096 and 219,879 is: 483,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096 : 219,879 = 219,879 : x
  2. Step 2: Convert to fraction form
    100,096/219,879 = 219,879/x
  3. Step 3: Cross multiply
    100,096x = 219,879 × 219,879
  4. Step 4: Simplify right side
    100,096x = 48,346,774,641
  5. Step 5: Solve for x
    x = 48,346,774,641/100,096
  6. Step 6: Final answer
    x = 483,004.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.