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Finding the Third Proportional to 94,682.25 and 206,313

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Solution

The third proportional to 94,682.25 and 206,313 is: 449,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,682.25 : 206,313 = 206,313 : x
  2. Step 2: Convert to fraction form
    94,682.25/206,313 = 206,313/x
  3. Step 3: Cross multiply
    94,682.25x = 206,313 × 206,313
  4. Step 4: Simplify right side
    94,682.25x = 42,565,053,969
  5. Step 5: Solve for x
    x = 42,565,053,969/94,682.25
  6. Step 6: Final answer
    x = 449,556.85

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