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Finding the Third Proportional to 93,940.50 and 204,739

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Solution

The third proportional to 93,940.50 and 204,739 is: 446,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,940.50 : 204,739 = 204,739 : x
  2. Step 2: Convert to fraction form
    93,940.50/204,739 = 204,739/x
  3. Step 3: Cross multiply
    93,940.50x = 204,739 × 204,739
  4. Step 4: Simplify right side
    93,940.50x = 41,918,058,121
  5. Step 5: Solve for x
    x = 41,918,058,121/93,940.50
  6. Step 6: Final answer
    x = 446,219.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.