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Finding the Third Proportional to 93,682 and 202,884

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Solution

The third proportional to 93,682 and 202,884 is: 439,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,682 : 202,884 = 202,884 : x
  2. Step 2: Convert to fraction form
    93,682/202,884 = 202,884/x
  3. Step 3: Cross multiply
    93,682x = 202,884 × 202,884
  4. Step 4: Simplify right side
    93,682x = 41,161,917,456
  5. Step 5: Solve for x
    x = 41,161,917,456/93,682
  6. Step 6: Final answer
    x = 439,379.15

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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.