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Finding the Third Proportional to 46,204 and 99,782

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Solution

The third proportional to 46,204 and 99,782 is: 215,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,204 : 99,782 = 99,782 : x
  2. Step 2: Convert to fraction form
    46,204/99,782 = 99,782/x
  3. Step 3: Cross multiply
    46,204x = 99,782 × 99,782
  4. Step 4: Simplify right side
    46,204x = 9,956,447,524
  5. Step 5: Solve for x
    x = 9,956,447,524/46,204
  6. Step 6: Final answer
    x = 215,488.87

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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.