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Finding the Third Proportional to 100,853 and 219,450

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Solution

The third proportional to 100,853 and 219,450 is: 477,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,853 : 219,450 = 219,450 : x
  2. Step 2: Convert to fraction form
    100,853/219,450 = 219,450/x
  3. Step 3: Cross multiply
    100,853x = 219,450 × 219,450
  4. Step 4: Simplify right side
    100,853x = 48,158,302,500
  5. Step 5: Solve for x
    x = 48,158,302,500/100,853
  6. Step 6: Final answer
    x = 477,509.87

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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.