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Finding the Third Proportional to 94,023.91 and 205,185.02

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Solution

The third proportional to 94,023.91 and 205,185.02 is: 447,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,023.91 : 205,185.02 = 205,185.02 : x
  2. Step 2: Convert to fraction form
    94,023.91/205,185.02 = 205,185.02/x
  3. Step 3: Cross multiply
    94,023.91x = 205,185.02 × 205,185.02
  4. Step 4: Simplify right side
    94,023.91x = 42,100,893,843.05
  5. Step 5: Solve for x
    x = 42,100,893,843.05/94,023.91
  6. Step 6: Final answer
    x = 447,767.94

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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.