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Finding the Third Proportional to 40,889.81 and 88,224.19

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Solution

The third proportional to 40,889.81 and 88,224.19 is: 190,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,889.81 : 88,224.19 = 88,224.19 : x
  2. Step 2: Convert to fraction form
    40,889.81/88,224.19 = 88,224.19/x
  3. Step 3: Cross multiply
    40,889.81x = 88,224.19 × 88,224.19
  4. Step 4: Simplify right side
    40,889.81x = 7,783,507,260.04
  5. Step 5: Solve for x
    x = 7,783,507,260.04/40,889.81
  6. Step 6: Final answer
    x = 190,353.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.