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Finding the Third Proportional to 93,630.38 and 204,777.56

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Solution

The third proportional to 93,630.38 and 204,777.56 is: 447,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,630.38 : 204,777.56 = 204,777.56 : x
  2. Step 2: Convert to fraction form
    93,630.38/204,777.56 = 204,777.56/x
  3. Step 3: Cross multiply
    93,630.38x = 204,777.56 × 204,777.56
  4. Step 4: Simplify right side
    93,630.38x = 41,933,850,103.44
  5. Step 5: Solve for x
    x = 41,933,850,103.44/93,630.38
  6. Step 6: Final answer
    x = 447,865.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.