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Finding the Third Proportional to 46,764 and 100,227

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Solution

The third proportional to 46,764 and 100,227 is: 214,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764 : 100,227 = 100,227 : x
  2. Step 2: Convert to fraction form
    46,764/100,227 = 100,227/x
  3. Step 3: Cross multiply
    46,764x = 100,227 × 100,227
  4. Step 4: Simplify right side
    46,764x = 10,045,451,529
  5. Step 5: Solve for x
    x = 10,045,451,529/46,764
  6. Step 6: Final answer
    x = 214,811.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.