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Finding the Third Proportional to 93,404 and 202,682

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Solution

The third proportional to 93,404 and 202,682 is: 439,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,404 : 202,682 = 202,682 : x
  2. Step 2: Convert to fraction form
    93,404/202,682 = 202,682/x
  3. Step 3: Cross multiply
    93,404x = 202,682 × 202,682
  4. Step 4: Simplify right side
    93,404x = 41,079,993,124
  5. Step 5: Solve for x
    x = 41,079,993,124/93,404
  6. Step 6: Final answer
    x = 439,809.78

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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.