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Finding the Third Proportional to 41,784.25 and 89,399.25

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Solution

The third proportional to 41,784.25 and 89,399.25 is: 191,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784.25 : 89,399.25 = 89,399.25 : x
  2. Step 2: Convert to fraction form
    41,784.25/89,399.25 = 89,399.25/x
  3. Step 3: Cross multiply
    41,784.25x = 89,399.25 × 89,399.25
  4. Step 4: Simplify right side
    41,784.25x = 7,992,225,900.56
  5. Step 5: Solve for x
    x = 7,992,225,900.56/41,784.25
  6. Step 6: Final answer
    x = 191,273.65

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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.