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Finding the Third Proportional to 100,097 and 219,881

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Solution

The third proportional to 100,097 and 219,881 is: 483,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097 : 219,881 = 219,881 : x
  2. Step 2: Convert to fraction form
    100,097/219,881 = 219,881/x
  3. Step 3: Cross multiply
    100,097x = 219,881 × 219,881
  4. Step 4: Simplify right side
    100,097x = 48,347,654,161
  5. Step 5: Solve for x
    x = 48,347,654,161/100,097
  6. Step 6: Final answer
    x = 483,008.02

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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.