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Finding the Third Proportional to 197,993.11 and 405,212.63

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Solution

The third proportional to 197,993.11 and 405,212.63 is: 829,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,993.11 : 405,212.63 = 405,212.63 : x
  2. Step 2: Convert to fraction form
    197,993.11/405,212.63 = 405,212.63/x
  3. Step 3: Cross multiply
    197,993.11x = 405,212.63 × 405,212.63
  4. Step 4: Simplify right side
    197,993.11x = 164,197,271,459.39
  5. Step 5: Solve for x
    x = 164,197,271,459.39/197,993.11
  6. Step 6: Final answer
    x = 829,308.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.