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Finding the Third Proportional to 49,658.91 and 101,932.03

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Solution

The third proportional to 49,658.91 and 101,932.03 is: 209,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658.91 : 101,932.03 = 101,932.03 : x
  2. Step 2: Convert to fraction form
    49,658.91/101,932.03 = 101,932.03/x
  3. Step 3: Cross multiply
    49,658.91x = 101,932.03 × 101,932.03
  4. Step 4: Simplify right side
    49,658.91x = 10,390,138,994.75
  5. Step 5: Solve for x
    x = 10,390,138,994.75/49,658.91
  6. Step 6: Final answer
    x = 209,230.12

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.