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Finding the Third Proportional to 42,607.69 and 89,709.19

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Solution

The third proportional to 42,607.69 and 89,709.19 is: 188,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,607.69 : 89,709.19 = 89,709.19 : x
  2. Step 2: Convert to fraction form
    42,607.69/89,709.19 = 89,709.19/x
  3. Step 3: Cross multiply
    42,607.69x = 89,709.19 × 89,709.19
  4. Step 4: Simplify right side
    42,607.69x = 8,047,738,321.91
  5. Step 5: Solve for x
    x = 8,047,738,321.91/42,607.69
  6. Step 6: Final answer
    x = 188,879.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.