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Finding the Third Proportional to 97,896 and 208,599

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Solution

The third proportional to 97,896 and 208,599 is: 444,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896 : 208,599 = 208,599 : x
  2. Step 2: Convert to fraction form
    97,896/208,599 = 208,599/x
  3. Step 3: Cross multiply
    97,896x = 208,599 × 208,599
  4. Step 4: Simplify right side
    97,896x = 43,513,542,801
  5. Step 5: Solve for x
    x = 43,513,542,801/97,896
  6. Step 6: Final answer
    x = 444,487.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.