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Finding the Third Proportional to 97,759 and 214,228

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Solution

The third proportional to 97,759 and 214,228 is: 469,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,759 : 214,228 = 214,228 : x
  2. Step 2: Convert to fraction form
    97,759/214,228 = 214,228/x
  3. Step 3: Cross multiply
    97,759x = 214,228 × 214,228
  4. Step 4: Simplify right side
    97,759x = 45,893,635,984
  5. Step 5: Solve for x
    x = 45,893,635,984/97,759
  6. Step 6: Final answer
    x = 469,456.89

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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.