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Finding the Third Proportional to 88,264 and 189,163

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Solution

The third proportional to 88,264 and 189,163 is: 405,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,264 : 189,163 = 189,163 : x
  2. Step 2: Convert to fraction form
    88,264/189,163 = 189,163/x
  3. Step 3: Cross multiply
    88,264x = 189,163 × 189,163
  4. Step 4: Simplify right side
    88,264x = 35,782,640,569
  5. Step 5: Solve for x
    x = 35,782,640,569/88,264
  6. Step 6: Final answer
    x = 405,404.70

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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.