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Finding the Third Proportional to 41,097.38 and 87,890.06

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Solution

The third proportional to 41,097.38 and 87,890.06 is: 187,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.38 : 87,890.06 = 87,890.06 : x
  2. Step 2: Convert to fraction form
    41,097.38/87,890.06 = 87,890.06/x
  3. Step 3: Cross multiply
    41,097.38x = 87,890.06 × 87,890.06
  4. Step 4: Simplify right side
    41,097.38x = 7,724,663,086.25
  5. Step 5: Solve for x
    x = 7,724,663,086.25/41,097.38
  6. Step 6: Final answer
    x = 187,960.01

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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.