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Finding the Third Proportional to 47,596 and 98,936

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Solution

The third proportional to 47,596 and 98,936 is: 205,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,596 : 98,936 = 98,936 : x
  2. Step 2: Convert to fraction form
    47,596/98,936 = 98,936/x
  3. Step 3: Cross multiply
    47,596x = 98,936 × 98,936
  4. Step 4: Simplify right side
    47,596x = 9,788,332,096
  5. Step 5: Solve for x
    x = 9,788,332,096/47,596
  6. Step 6: Final answer
    x = 205,654.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.