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Finding the Third Proportional to 46,296 and 96,227

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Solution

The third proportional to 46,296 and 96,227 is: 200,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,296 : 96,227 = 96,227 : x
  2. Step 2: Convert to fraction form
    46,296/96,227 = 96,227/x
  3. Step 3: Cross multiply
    46,296x = 96,227 × 96,227
  4. Step 4: Simplify right side
    46,296x = 9,259,635,529
  5. Step 5: Solve for x
    x = 9,259,635,529/46,296
  6. Step 6: Final answer
    x = 200,009.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.