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Finding the Third Proportional to 199,530.84 and 443,348.44

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Solution

The third proportional to 199,530.84 and 443,348.44 is: 985,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,530.84 : 443,348.44 = 443,348.44 : x
  2. Step 2: Convert to fraction form
    199,530.84/443,348.44 = 443,348.44/x
  3. Step 3: Cross multiply
    199,530.84x = 443,348.44 × 443,348.44
  4. Step 4: Simplify right side
    199,530.84x = 196,557,837,033.69
  5. Step 5: Solve for x
    x = 196,557,837,033.69/199,530.84
  6. Step 6: Final answer
    x = 985,100.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.