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Finding the Third Proportional to 97,299 and 209,608

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Solution

The third proportional to 97,299 and 209,608 is: 451,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,299 : 209,608 = 209,608 : x
  2. Step 2: Convert to fraction form
    97,299/209,608 = 209,608/x
  3. Step 3: Cross multiply
    97,299x = 209,608 × 209,608
  4. Step 4: Simplify right side
    97,299x = 43,935,513,664
  5. Step 5: Solve for x
    x = 43,935,513,664/97,299
  6. Step 6: Final answer
    x = 451,551.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.