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Finding the Third Proportional to 40,956.94 and 89,325.19

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Solution

The third proportional to 40,956.94 and 89,325.19 is: 194,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,956.94 : 89,325.19 = 89,325.19 : x
  2. Step 2: Convert to fraction form
    40,956.94/89,325.19 = 89,325.19/x
  3. Step 3: Cross multiply
    40,956.94x = 89,325.19 × 89,325.19
  4. Step 4: Simplify right side
    40,956.94x = 7,978,989,121.91
  5. Step 5: Solve for x
    x = 7,978,989,121.91/40,956.94
  6. Step 6: Final answer
    x = 194,814.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.