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Finding the Third Proportional to 100,944 and 219,564

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Solution

The third proportional to 100,944 and 219,564 is: 477,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944 : 219,564 = 219,564 : x
  2. Step 2: Convert to fraction form
    100,944/219,564 = 219,564/x
  3. Step 3: Cross multiply
    100,944x = 219,564 × 219,564
  4. Step 4: Simplify right side
    100,944x = 48,208,350,096
  5. Step 5: Solve for x
    x = 48,208,350,096/100,944
  6. Step 6: Final answer
    x = 477,575.19

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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.