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Finding the Third Proportional to 93,648 and 203,170

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Solution

The third proportional to 93,648 and 203,170 is: 440,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,648 : 203,170 = 203,170 : x
  2. Step 2: Convert to fraction form
    93,648/203,170 = 203,170/x
  3. Step 3: Cross multiply
    93,648x = 203,170 × 203,170
  4. Step 4: Simplify right side
    93,648x = 41,278,048,900
  5. Step 5: Solve for x
    x = 41,278,048,900/93,648
  6. Step 6: Final answer
    x = 440,778.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.