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Finding the Third Proportional to 93,615 and 202,782

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Solution

The third proportional to 93,615 and 202,782 is: 439,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,615 : 202,782 = 202,782 : x
  2. Step 2: Convert to fraction form
    93,615/202,782 = 202,782/x
  3. Step 3: Cross multiply
    93,615x = 202,782 × 202,782
  4. Step 4: Simplify right side
    93,615x = 41,120,539,524
  5. Step 5: Solve for x
    x = 41,120,539,524/93,615
  6. Step 6: Final answer
    x = 439,251.61

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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.