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Finding the Third Proportional to 90,007 and 196,958

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Solution

The third proportional to 90,007 and 196,958 is: 430,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,007 : 196,958 = 196,958 : x
  2. Step 2: Convert to fraction form
    90,007/196,958 = 196,958/x
  3. Step 3: Cross multiply
    90,007x = 196,958 × 196,958
  4. Step 4: Simplify right side
    90,007x = 38,792,453,764
  5. Step 5: Solve for x
    x = 38,792,453,764/90,007
  6. Step 6: Final answer
    x = 430,993.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.