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Finding the Third Proportional to 88,220 and 193,936

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Solution

The third proportional to 88,220 and 193,936 is: 426,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,220 : 193,936 = 193,936 : x
  2. Step 2: Convert to fraction form
    88,220/193,936 = 193,936/x
  3. Step 3: Cross multiply
    88,220x = 193,936 × 193,936
  4. Step 4: Simplify right side
    88,220x = 37,611,172,096
  5. Step 5: Solve for x
    x = 37,611,172,096/88,220
  6. Step 6: Final answer
    x = 426,333.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.