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Finding the Third Proportional to 47,882 and 101,816

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Solution

The third proportional to 47,882 and 101,816 is: 216,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882 : 101,816 = 101,816 : x
  2. Step 2: Convert to fraction form
    47,882/101,816 = 101,816/x
  3. Step 3: Cross multiply
    47,882x = 101,816 × 101,816
  4. Step 4: Simplify right side
    47,882x = 10,366,497,856
  5. Step 5: Solve for x
    x = 10,366,497,856/47,882
  6. Step 6: Final answer
    x = 216,500.94

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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.