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Finding the Third Proportional to 85,057 and 198,668.50

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Solution

The third proportional to 85,057 and 198,668.50 is: 464,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,057 : 198,668.50 = 198,668.50 : x
  2. Step 2: Convert to fraction form
    85,057/198,668.50 = 198,668.50/x
  3. Step 3: Cross multiply
    85,057x = 198,668.50 × 198,668.50
  4. Step 4: Simplify right side
    85,057x = 39,469,172,892.25
  5. Step 5: Solve for x
    x = 39,469,172,892.25/85,057
  6. Step 6: Final answer
    x = 464,032.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.