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Finding the Third Proportional to 96,634 and 196,000

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Solution

The third proportional to 96,634 and 196,000 is: 397,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,634 : 196,000 = 196,000 : x
  2. Step 2: Convert to fraction form
    96,634/196,000 = 196,000/x
  3. Step 3: Cross multiply
    96,634x = 196,000 × 196,000
  4. Step 4: Simplify right side
    96,634x = 38,416,000,000
  5. Step 5: Solve for x
    x = 38,416,000,000/96,634
  6. Step 6: Final answer
    x = 397,541.24

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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.