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Finding the Third Proportional to 94,109.34 and 206,876.53

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Solution

The third proportional to 94,109.34 and 206,876.53 is: 454,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,109.34 : 206,876.53 = 206,876.53 : x
  2. Step 2: Convert to fraction form
    94,109.34/206,876.53 = 206,876.53/x
  3. Step 3: Cross multiply
    94,109.34x = 206,876.53 × 206,876.53
  4. Step 4: Simplify right side
    94,109.34x = 42,797,899,182.03
  5. Step 5: Solve for x
    x = 42,797,899,182.03/94,109.34
  6. Step 6: Final answer
    x = 454,767.80

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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.