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Finding the Third Proportional to 90,949.50 and 196,383

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Solution

The third proportional to 90,949.50 and 196,383 is: 424,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,949.50 : 196,383 = 196,383 : x
  2. Step 2: Convert to fraction form
    90,949.50/196,383 = 196,383/x
  3. Step 3: Cross multiply
    90,949.50x = 196,383 × 196,383
  4. Step 4: Simplify right side
    90,949.50x = 38,566,282,689
  5. Step 5: Solve for x
    x = 38,566,282,689/90,949.50
  6. Step 6: Final answer
    x = 424,040.62

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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.