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Finding the Third Proportional to 94,132.13 and 206,922.09

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Solution

The third proportional to 94,132.13 and 206,922.09 is: 454,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,132.13 : 206,922.09 = 206,922.09 : x
  2. Step 2: Convert to fraction form
    94,132.13/206,922.09 = 206,922.09/x
  3. Step 3: Cross multiply
    94,132.13x = 206,922.09 × 206,922.09
  4. Step 4: Simplify right side
    94,132.13x = 42,816,752,881.88
  5. Step 5: Solve for x
    x = 42,816,752,881.88/94,132.13
  6. Step 6: Final answer
    x = 454,858.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.