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Finding the Third Proportional to 211,144.22 and 459,467.44

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Solution

The third proportional to 211,144.22 and 459,467.44 is: 999,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,144.22 : 459,467.44 = 459,467.44 : x
  2. Step 2: Convert to fraction form
    211,144.22/459,467.44 = 459,467.44/x
  3. Step 3: Cross multiply
    211,144.22x = 459,467.44 × 459,467.44
  4. Step 4: Simplify right side
    211,144.22x = 211,110,326,122.82
  5. Step 5: Solve for x
    x = 211,110,326,122.82/211,144.22
  6. Step 6: Final answer
    x = 999,839.48

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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.