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Finding the Third Proportional to 19,296.91 and 42,238.83

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Solution

The third proportional to 19,296.91 and 42,238.83 is: 92,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296.91 : 42,238.83 = 42,238.83 : x
  2. Step 2: Convert to fraction form
    19,296.91/42,238.83 = 42,238.83/x
  3. Step 3: Cross multiply
    19,296.91x = 42,238.83 × 42,238.83
  4. Step 4: Simplify right side
    19,296.91x = 1,784,118,601.37
  5. Step 5: Solve for x
    x = 1,784,118,601.37/19,296.91
  6. Step 6: Final answer
    x = 92,456.16

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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.