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Finding the Third Proportional to 46,493 and 95,458

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Solution

The third proportional to 46,493 and 95,458 is: 195,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493 : 95,458 = 95,458 : x
  2. Step 2: Convert to fraction form
    46,493/95,458 = 95,458/x
  3. Step 3: Cross multiply
    46,493x = 95,458 × 95,458
  4. Step 4: Simplify right side
    46,493x = 9,112,229,764
  5. Step 5: Solve for x
    x = 9,112,229,764/46,493
  6. Step 6: Final answer
    x = 195,991.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.