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Finding the Third Proportional to 92,844 and 198,215

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Solution

The third proportional to 92,844 and 198,215 is: 423,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,844 : 198,215 = 198,215 : x
  2. Step 2: Convert to fraction form
    92,844/198,215 = 198,215/x
  3. Step 3: Cross multiply
    92,844x = 198,215 × 198,215
  4. Step 4: Simplify right side
    92,844x = 39,289,186,225
  5. Step 5: Solve for x
    x = 39,289,186,225/92,844
  6. Step 6: Final answer
    x = 423,174.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.