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Finding the Third Proportional to 96,639.50 and 195,875

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Solution

The third proportional to 96,639.50 and 195,875 is: 397,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,639.50 : 195,875 = 195,875 : x
  2. Step 2: Convert to fraction form
    96,639.50/195,875 = 195,875/x
  3. Step 3: Cross multiply
    96,639.50x = 195,875 × 195,875
  4. Step 4: Simplify right side
    96,639.50x = 38,367,015,625
  5. Step 5: Solve for x
    x = 38,367,015,625/96,639.50
  6. Step 6: Final answer
    x = 397,011.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.