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Finding the Third Proportional to 19,098.19 and 42,003.38

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Solution

The third proportional to 19,098.19 and 42,003.38 is: 92,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.19 : 42,003.38 = 42,003.38 : x
  2. Step 2: Convert to fraction form
    19,098.19/42,003.38 = 42,003.38/x
  3. Step 3: Cross multiply
    19,098.19x = 42,003.38 × 42,003.38
  4. Step 4: Simplify right side
    19,098.19x = 1,764,283,511.39
  5. Step 5: Solve for x
    x = 1,764,283,511.39/19,098.19
  6. Step 6: Final answer
    x = 92,379.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.