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Finding the Third Proportional to 97,801 and 214,285

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Solution

The third proportional to 97,801 and 214,285 is: 469,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,801 : 214,285 = 214,285 : x
  2. Step 2: Convert to fraction form
    97,801/214,285 = 214,285/x
  3. Step 3: Cross multiply
    97,801x = 214,285 × 214,285
  4. Step 4: Simplify right side
    97,801x = 45,918,061,225
  5. Step 5: Solve for x
    x = 45,918,061,225/97,801
  6. Step 6: Final answer
    x = 469,505.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.