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Finding the Third Proportional to 44,357 and 95,821

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Solution

The third proportional to 44,357 and 95,821 is: 206,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,357 : 95,821 = 95,821 : x
  2. Step 2: Convert to fraction form
    44,357/95,821 = 95,821/x
  3. Step 3: Cross multiply
    44,357x = 95,821 × 95,821
  4. Step 4: Simplify right side
    44,357x = 9,181,664,041
  5. Step 5: Solve for x
    x = 9,181,664,041/44,357
  6. Step 6: Final answer
    x = 206,994.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.