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Finding the Third Proportional to 90,077 and 191,818

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Solution

The third proportional to 90,077 and 191,818 is: 408,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,077 : 191,818 = 191,818 : x
  2. Step 2: Convert to fraction form
    90,077/191,818 = 191,818/x
  3. Step 3: Cross multiply
    90,077x = 191,818 × 191,818
  4. Step 4: Simplify right side
    90,077x = 36,794,145,124
  5. Step 5: Solve for x
    x = 36,794,145,124/90,077
  6. Step 6: Final answer
    x = 408,474.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.