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Finding the Third Proportional to 91,968 and 199,296

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Solution

The third proportional to 91,968 and 199,296 is: 431,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,968 : 199,296 = 199,296 : x
  2. Step 2: Convert to fraction form
    91,968/199,296 = 199,296/x
  3. Step 3: Cross multiply
    91,968x = 199,296 × 199,296
  4. Step 4: Simplify right side
    91,968x = 39,718,895,616
  5. Step 5: Solve for x
    x = 39,718,895,616/91,968
  6. Step 6: Final answer
    x = 431,877.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.