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Finding the Third Proportional to 42,418.69 and 92,993.06

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Solution

The third proportional to 42,418.69 and 92,993.06 is: 203,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,418.69 : 92,993.06 = 92,993.06 : x
  2. Step 2: Convert to fraction form
    42,418.69/92,993.06 = 92,993.06/x
  3. Step 3: Cross multiply
    42,418.69x = 92,993.06 × 92,993.06
  4. Step 4: Simplify right side
    42,418.69x = 8,647,709,673.13
  5. Step 5: Solve for x
    x = 8,647,709,673.13/42,418.69
  6. Step 6: Final answer
    x = 203,865.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.