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Finding the Third Proportional to 19,286.86 and 42,178.22

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Solution

The third proportional to 19,286.86 and 42,178.22 is: 92,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.86 : 42,178.22 = 42,178.22 : x
  2. Step 2: Convert to fraction form
    19,286.86/42,178.22 = 42,178.22/x
  3. Step 3: Cross multiply
    19,286.86x = 42,178.22 × 42,178.22
  4. Step 4: Simplify right side
    19,286.86x = 1,779,002,136.92
  5. Step 5: Solve for x
    x = 1,779,002,136.92/19,286.86
  6. Step 6: Final answer
    x = 92,239.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.