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Finding the Third Proportional to 42,800.91 and 91,537.59

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Solution

The third proportional to 42,800.91 and 91,537.59 is: 195,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800.91 : 91,537.59 = 91,537.59 : x
  2. Step 2: Convert to fraction form
    42,800.91/91,537.59 = 91,537.59/x
  3. Step 3: Cross multiply
    42,800.91x = 91,537.59 × 91,537.59
  4. Step 4: Simplify right side
    42,800.91x = 8,379,131,069.54
  5. Step 5: Solve for x
    x = 8,379,131,069.54/42,800.91
  6. Step 6: Final answer
    x = 195,769.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.