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Finding the Third Proportional to 92,356.50 and 198,837.75

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Solution

The third proportional to 92,356.50 and 198,837.75 is: 428,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,356.50 : 198,837.75 = 198,837.75 : x
  2. Step 2: Convert to fraction form
    92,356.50/198,837.75 = 198,837.75/x
  3. Step 3: Cross multiply
    92,356.50x = 198,837.75 × 198,837.75
  4. Step 4: Simplify right side
    92,356.50x = 39,536,450,825.06
  5. Step 5: Solve for x
    x = 39,536,450,825.06/92,356.50
  6. Step 6: Final answer
    x = 428,085.20

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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.