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Finding the Third Proportional to 40,218.19 and 85,956.19

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Solution

The third proportional to 40,218.19 and 85,956.19 is: 183,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,218.19 : 85,956.19 = 85,956.19 : x
  2. Step 2: Convert to fraction form
    40,218.19/85,956.19 = 85,956.19/x
  3. Step 3: Cross multiply
    40,218.19x = 85,956.19 × 85,956.19
  4. Step 4: Simplify right side
    40,218.19x = 7,388,466,169.54
  5. Step 5: Solve for x
    x = 7,388,466,169.54/40,218.19
  6. Step 6: Final answer
    x = 183,709.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.