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Finding the Third Proportional to 43,365 and 93,198

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Solution

The third proportional to 43,365 and 93,198 is: 200,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,365 : 93,198 = 93,198 : x
  2. Step 2: Convert to fraction form
    43,365/93,198 = 93,198/x
  3. Step 3: Cross multiply
    43,365x = 93,198 × 93,198
  4. Step 4: Simplify right side
    43,365x = 8,685,867,204
  5. Step 5: Solve for x
    x = 8,685,867,204/43,365
  6. Step 6: Final answer
    x = 200,296.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.