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Finding the Third Proportional to 93,950 and 205,999

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Solution

The third proportional to 93,950 and 205,999 is: 451,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,950 : 205,999 = 205,999 : x
  2. Step 2: Convert to fraction form
    93,950/205,999 = 205,999/x
  3. Step 3: Cross multiply
    93,950x = 205,999 × 205,999
  4. Step 4: Simplify right side
    93,950x = 42,435,588,001
  5. Step 5: Solve for x
    x = 42,435,588,001/93,950
  6. Step 6: Final answer
    x = 451,682.68

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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.