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Finding the Third Proportional to 90,698.91 and 211,796.44

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Solution

The third proportional to 90,698.91 and 211,796.44 is: 494,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,698.91 : 211,796.44 = 211,796.44 : x
  2. Step 2: Convert to fraction form
    90,698.91/211,796.44 = 211,796.44/x
  3. Step 3: Cross multiply
    90,698.91x = 211,796.44 × 211,796.44
  4. Step 4: Simplify right side
    90,698.91x = 44,857,730,937.69
  5. Step 5: Solve for x
    x = 44,857,730,937.69/90,698.91
  6. Step 6: Final answer
    x = 494,578.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.