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Finding the Third Proportional to 96,274.50 and 198,684

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Solution

The third proportional to 96,274.50 and 198,684 is: 410,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,274.50 : 198,684 = 198,684 : x
  2. Step 2: Convert to fraction form
    96,274.50/198,684 = 198,684/x
  3. Step 3: Cross multiply
    96,274.50x = 198,684 × 198,684
  4. Step 4: Simplify right side
    96,274.50x = 39,475,331,856
  5. Step 5: Solve for x
    x = 39,475,331,856/96,274.50
  6. Step 6: Final answer
    x = 410,028.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.