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Finding the Third Proportional to 22,216 and 46,930

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Solution

The third proportional to 22,216 and 46,930 is: 99,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,216 : 46,930 = 46,930 : x
  2. Step 2: Convert to fraction form
    22,216/46,930 = 46,930/x
  3. Step 3: Cross multiply
    22,216x = 46,930 × 46,930
  4. Step 4: Simplify right side
    22,216x = 2,202,424,900
  5. Step 5: Solve for x
    x = 2,202,424,900/22,216
  6. Step 6: Final answer
    x = 99,136.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.