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Finding the Third Proportional to 47,300 and 103,816

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Solution

The third proportional to 47,300 and 103,816 is: 227,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,300 : 103,816 = 103,816 : x
  2. Step 2: Convert to fraction form
    47,300/103,816 = 103,816/x
  3. Step 3: Cross multiply
    47,300x = 103,816 × 103,816
  4. Step 4: Simplify right side
    47,300x = 10,777,761,856
  5. Step 5: Solve for x
    x = 10,777,761,856/47,300
  6. Step 6: Final answer
    x = 227,859.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.