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Finding the Third Proportional to 91,424 and 199,936

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Solution

The third proportional to 91,424 and 199,936 is: 437,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,424 : 199,936 = 199,936 : x
  2. Step 2: Convert to fraction form
    91,424/199,936 = 199,936/x
  3. Step 3: Cross multiply
    91,424x = 199,936 × 199,936
  4. Step 4: Simplify right side
    91,424x = 39,974,404,096
  5. Step 5: Solve for x
    x = 39,974,404,096/91,424
  6. Step 6: Final answer
    x = 437,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.