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Finding the Third Proportional to 90,450 and 196,967

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Solution

The third proportional to 90,450 and 196,967 is: 428,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,450 : 196,967 = 196,967 : x
  2. Step 2: Convert to fraction form
    90,450/196,967 = 196,967/x
  3. Step 3: Cross multiply
    90,450x = 196,967 × 196,967
  4. Step 4: Simplify right side
    90,450x = 38,795,999,089
  5. Step 5: Solve for x
    x = 38,795,999,089/90,450
  6. Step 6: Final answer
    x = 428,922.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.