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Finding the Third Proportional to 92,094 and 198,678

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Solution

The third proportional to 92,094 and 198,678 is: 428,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,094 : 198,678 = 198,678 : x
  2. Step 2: Convert to fraction form
    92,094/198,678 = 198,678/x
  3. Step 3: Cross multiply
    92,094x = 198,678 × 198,678
  4. Step 4: Simplify right side
    92,094x = 39,472,947,684
  5. Step 5: Solve for x
    x = 39,472,947,684/92,094
  6. Step 6: Final answer
    x = 428,615.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.