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Finding the Third Proportional to 97,344 and 199,296

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Solution

The third proportional to 97,344 and 199,296 is: 408,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,344 : 199,296 = 199,296 : x
  2. Step 2: Convert to fraction form
    97,344/199,296 = 199,296/x
  3. Step 3: Cross multiply
    97,344x = 199,296 × 199,296
  4. Step 4: Simplify right side
    97,344x = 39,718,895,616
  5. Step 5: Solve for x
    x = 39,718,895,616/97,344
  6. Step 6: Final answer
    x = 408,026.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.