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Finding the Third Proportional to 41,325.19 and 89,661.94

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Solution

The third proportional to 41,325.19 and 89,661.94 is: 194,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,325.19 : 89,661.94 = 89,661.94 : x
  2. Step 2: Convert to fraction form
    41,325.19/89,661.94 = 89,661.94/x
  3. Step 3: Cross multiply
    41,325.19x = 89,661.94 × 89,661.94
  4. Step 4: Simplify right side
    41,325.19x = 8,039,263,036.25
  5. Step 5: Solve for x
    x = 8,039,263,036.25/41,325.19
  6. Step 6: Final answer
    x = 194,536.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.