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Finding the Third Proportional to 91,099.50 and 199,749

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Solution

The third proportional to 91,099.50 and 199,749 is: 437,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,099.50 : 199,749 = 199,749 : x
  2. Step 2: Convert to fraction form
    91,099.50/199,749 = 199,749/x
  3. Step 3: Cross multiply
    91,099.50x = 199,749 × 199,749
  4. Step 4: Simplify right side
    91,099.50x = 39,899,663,001
  5. Step 5: Solve for x
    x = 39,899,663,001/91,099.50
  6. Step 6: Final answer
    x = 437,978.95

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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.