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Finding the Third Proportional to 97,801 and 206,285

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Solution

The third proportional to 97,801 and 206,285 is: 435,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,801 : 206,285 = 206,285 : x
  2. Step 2: Convert to fraction form
    97,801/206,285 = 206,285/x
  3. Step 3: Cross multiply
    97,801x = 206,285 × 206,285
  4. Step 4: Simplify right side
    97,801x = 42,553,501,225
  5. Step 5: Solve for x
    x = 42,553,501,225/97,801
  6. Step 6: Final answer
    x = 435,102.93

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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.