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Finding the Third Proportional to 23,198.43 and 50,830.66

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Solution

The third proportional to 23,198.43 and 50,830.66 is: 111,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.43 : 50,830.66 = 50,830.66 : x
  2. Step 2: Convert to fraction form
    23,198.43/50,830.66 = 50,830.66/x
  3. Step 3: Cross multiply
    23,198.43x = 50,830.66 × 50,830.66
  4. Step 4: Simplify right side
    23,198.43x = 2,583,756,409.03
  5. Step 5: Solve for x
    x = 2,583,756,409.03/23,198.43
  6. Step 6: Final answer
    x = 111,376.34

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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.