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Finding the Third Proportional to 42,022.69 and 91,045.13

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Solution

The third proportional to 42,022.69 and 91,045.13 is: 197,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.69 : 91,045.13 = 91,045.13 : x
  2. Step 2: Convert to fraction form
    42,022.69/91,045.13 = 91,045.13/x
  3. Step 3: Cross multiply
    42,022.69x = 91,045.13 × 91,045.13
  4. Step 4: Simplify right side
    42,022.69x = 8,289,214,786.27
  5. Step 5: Solve for x
    x = 8,289,214,786.27/42,022.69
  6. Step 6: Final answer
    x = 197,255.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.