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Finding the Third Proportional to 47,336 and 100,988

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Solution

The third proportional to 47,336 and 100,988 is: 215,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,336 : 100,988 = 100,988 : x
  2. Step 2: Convert to fraction form
    47,336/100,988 = 100,988/x
  3. Step 3: Cross multiply
    47,336x = 100,988 × 100,988
  4. Step 4: Simplify right side
    47,336x = 10,198,576,144
  5. Step 5: Solve for x
    x = 10,198,576,144/47,336
  6. Step 6: Final answer
    x = 215,450.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.