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Finding the Third Proportional to 96,399 and 198,947

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Solution

The third proportional to 96,399 and 198,947 is: 410,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,399 : 198,947 = 198,947 : x
  2. Step 2: Convert to fraction form
    96,399/198,947 = 198,947/x
  3. Step 3: Cross multiply
    96,399x = 198,947 × 198,947
  4. Step 4: Simplify right side
    96,399x = 39,579,908,809
  5. Step 5: Solve for x
    x = 39,579,908,809/96,399
  6. Step 6: Final answer
    x = 410,584.23

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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.