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Finding the Third Proportional to 49,234.08 and 108,005.91

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Solution

The third proportional to 49,234.08 and 108,005.91 is: 236,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234.08 : 108,005.91 = 108,005.91 : x
  2. Step 2: Convert to fraction form
    49,234.08/108,005.91 = 108,005.91/x
  3. Step 3: Cross multiply
    49,234.08x = 108,005.91 × 108,005.91
  4. Step 4: Simplify right side
    49,234.08x = 11,665,275,784.88
  5. Step 5: Solve for x
    x = 11,665,275,784.88/49,234.08
  6. Step 6: Final answer
    x = 236,934.99

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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.