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Finding the Third Proportional to 211,636.97 and 451,977.47

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Solution

The third proportional to 211,636.97 and 451,977.47 is: 965,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,636.97 : 451,977.47 = 451,977.47 : x
  2. Step 2: Convert to fraction form
    211,636.97/451,977.47 = 451,977.47/x
  3. Step 3: Cross multiply
    211,636.97x = 451,977.47 × 451,977.47
  4. Step 4: Simplify right side
    211,636.97x = 204,283,632,257.66
  5. Step 5: Solve for x
    x = 204,283,632,257.66/211,636.97
  6. Step 6: Final answer
    x = 965,254.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.