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Finding the Third Proportional to 92,029.50 and 198,558

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Solution

The third proportional to 92,029.50 and 198,558 is: 428,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,029.50 : 198,558 = 198,558 : x
  2. Step 2: Convert to fraction form
    92,029.50/198,558 = 198,558/x
  3. Step 3: Cross multiply
    92,029.50x = 198,558 × 198,558
  4. Step 4: Simplify right side
    92,029.50x = 39,425,279,364
  5. Step 5: Solve for x
    x = 39,425,279,364/92,029.50
  6. Step 6: Final answer
    x = 428,398.28

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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.