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Finding the Third Proportional to 91,347 and 199,302

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Solution

The third proportional to 91,347 and 199,302 is: 434,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,347 : 199,302 = 199,302 : x
  2. Step 2: Convert to fraction form
    91,347/199,302 = 199,302/x
  3. Step 3: Cross multiply
    91,347x = 199,302 × 199,302
  4. Step 4: Simplify right side
    91,347x = 39,721,287,204
  5. Step 5: Solve for x
    x = 39,721,287,204/91,347
  6. Step 6: Final answer
    x = 434,839.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.