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Finding the Third Proportional to 42,306.94 and 92,916.38

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Solution

The third proportional to 42,306.94 and 92,916.38 is: 204,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306.94 : 92,916.38 = 92,916.38 : x
  2. Step 2: Convert to fraction form
    42,306.94/92,916.38 = 92,916.38/x
  3. Step 3: Cross multiply
    42,306.94x = 92,916.38 × 92,916.38
  4. Step 4: Simplify right side
    42,306.94x = 8,633,452,743.14
  5. Step 5: Solve for x
    x = 8,633,452,743.14/42,306.94
  6. Step 6: Final answer
    x = 204,067.07

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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.