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Finding the Third Proportional to 91,848 and 198,384

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Solution

The third proportional to 91,848 and 198,384 is: 428,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,848 : 198,384 = 198,384 : x
  2. Step 2: Convert to fraction form
    91,848/198,384 = 198,384/x
  3. Step 3: Cross multiply
    91,848x = 198,384 × 198,384
  4. Step 4: Simplify right side
    91,848x = 39,356,211,456
  5. Step 5: Solve for x
    x = 39,356,211,456/91,848
  6. Step 6: Final answer
    x = 428,492.85

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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.