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Finding the Third Proportional to 95,772 and 196,314

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Solution

The third proportional to 95,772 and 196,314 is: 402,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,772 : 196,314 = 196,314 : x
  2. Step 2: Convert to fraction form
    95,772/196,314 = 196,314/x
  3. Step 3: Cross multiply
    95,772x = 196,314 × 196,314
  4. Step 4: Simplify right side
    95,772x = 38,539,186,596
  5. Step 5: Solve for x
    x = 38,539,186,596/95,772
  6. Step 6: Final answer
    x = 402,405.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.