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Finding the Third Proportional to 46,338 and 100,990

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Solution

The third proportional to 46,338 and 100,990 is: 220,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,338 : 100,990 = 100,990 : x
  2. Step 2: Convert to fraction form
    46,338/100,990 = 100,990/x
  3. Step 3: Cross multiply
    46,338x = 100,990 × 100,990
  4. Step 4: Simplify right side
    46,338x = 10,198,980,100
  5. Step 5: Solve for x
    x = 10,198,980,100/46,338
  6. Step 6: Final answer
    x = 220,099.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.