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Finding the Third Proportional to 43,848 and 92,913

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Solution

The third proportional to 43,848 and 92,913 is: 196,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,848 : 92,913 = 92,913 : x
  2. Step 2: Convert to fraction form
    43,848/92,913 = 92,913/x
  3. Step 3: Cross multiply
    43,848x = 92,913 × 92,913
  4. Step 4: Simplify right side
    43,848x = 8,632,825,569
  5. Step 5: Solve for x
    x = 8,632,825,569/43,848
  6. Step 6: Final answer
    x = 196,880.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.