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Finding the Third Proportional to 90,451.69 and 203,952.94

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Solution

The third proportional to 90,451.69 and 203,952.94 is: 459,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,451.69 : 203,952.94 = 203,952.94 : x
  2. Step 2: Convert to fraction form
    90,451.69/203,952.94 = 203,952.94/x
  3. Step 3: Cross multiply
    90,451.69x = 203,952.94 × 203,952.94
  4. Step 4: Simplify right side
    90,451.69x = 41,596,800,714.88
  5. Step 5: Solve for x
    x = 41,596,800,714.88/90,451.69
  6. Step 6: Final answer
    x = 459,878.66

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.