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Finding the Third Proportional to 93,791.25 and 205,370.44

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Solution

The third proportional to 93,791.25 and 205,370.44 is: 449,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,791.25 : 205,370.44 = 205,370.44 : x
  2. Step 2: Convert to fraction form
    93,791.25/205,370.44 = 205,370.44/x
  3. Step 3: Cross multiply
    93,791.25x = 205,370.44 × 205,370.44
  4. Step 4: Simplify right side
    93,791.25x = 42,177,016,598.94
  5. Step 5: Solve for x
    x = 42,177,016,598.94/93,791.25
  6. Step 6: Final answer
    x = 449,690.31

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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.