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Finding the Third Proportional to 104,225 and 219,933

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Solution

The third proportional to 104,225 and 219,933 is: 464,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,225 : 219,933 = 219,933 : x
  2. Step 2: Convert to fraction form
    104,225/219,933 = 219,933/x
  3. Step 3: Cross multiply
    104,225x = 219,933 × 219,933
  4. Step 4: Simplify right side
    104,225x = 48,370,524,489
  5. Step 5: Solve for x
    x = 48,370,524,489/104,225
  6. Step 6: Final answer
    x = 464,097.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.