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Finding the Third Proportional to 46,027 and 99,096

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Solution

The third proportional to 46,027 and 99,096 is: 213,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,027 : 99,096 = 99,096 : x
  2. Step 2: Convert to fraction form
    46,027/99,096 = 99,096/x
  3. Step 3: Cross multiply
    46,027x = 99,096 × 99,096
  4. Step 4: Simplify right side
    46,027x = 9,820,017,216
  5. Step 5: Solve for x
    x = 9,820,017,216/46,027
  6. Step 6: Final answer
    x = 213,353.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.