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Finding the Third Proportional to 211,993.77 and 461,351.64

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Solution

The third proportional to 211,993.77 and 461,351.64 is: 1,004,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,993.77 : 461,351.64 = 461,351.64 : x
  2. Step 2: Convert to fraction form
    211,993.77/461,351.64 = 461,351.64/x
  3. Step 3: Cross multiply
    211,993.77x = 461,351.64 × 461,351.64
  4. Step 4: Simplify right side
    211,993.77x = 212,845,332,703.07
  5. Step 5: Solve for x
    x = 212,845,332,703.07/211,993.77
  6. Step 6: Final answer
    x = 1,004,016.93

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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.