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Finding the Third Proportional to 92,359 and 198,844

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Solution

The third proportional to 92,359 and 198,844 is: 428,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,359 : 198,844 = 198,844 : x
  2. Step 2: Convert to fraction form
    92,359/198,844 = 198,844/x
  3. Step 3: Cross multiply
    92,359x = 198,844 × 198,844
  4. Step 4: Simplify right side
    92,359x = 39,538,936,336
  5. Step 5: Solve for x
    x = 39,538,936,336/92,359
  6. Step 6: Final answer
    x = 428,100.52

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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.