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Finding the Third Proportional to 97,384 and 204,608

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Solution

The third proportional to 97,384 and 204,608 is: 429,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,384 : 204,608 = 204,608 : x
  2. Step 2: Convert to fraction form
    97,384/204,608 = 204,608/x
  3. Step 3: Cross multiply
    97,384x = 204,608 × 204,608
  4. Step 4: Simplify right side
    97,384x = 41,864,433,664
  5. Step 5: Solve for x
    x = 41,864,433,664/97,384
  6. Step 6: Final answer
    x = 429,890.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.