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Finding the Third Proportional to 49,200.75 and 101,902.22

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Solution

The third proportional to 49,200.75 and 101,902.22 is: 211,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.75 : 101,902.22 = 101,902.22 : x
  2. Step 2: Convert to fraction form
    49,200.75/101,902.22 = 101,902.22/x
  3. Step 3: Cross multiply
    49,200.75x = 101,902.22 × 101,902.22
  4. Step 4: Simplify right side
    49,200.75x = 10,384,062,186.17
  5. Step 5: Solve for x
    x = 10,384,062,186.17/49,200.75
  6. Step 6: Final answer
    x = 211,054.96

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.