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Finding the Third Proportional to 49,424.25 and 102,944.50

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Solution

The third proportional to 49,424.25 and 102,944.50 is: 214,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424.25 : 102,944.50 = 102,944.50 : x
  2. Step 2: Convert to fraction form
    49,424.25/102,944.50 = 102,944.50/x
  3. Step 3: Cross multiply
    49,424.25x = 102,944.50 × 102,944.50
  4. Step 4: Simplify right side
    49,424.25x = 10,597,570,080.25
  5. Step 5: Solve for x
    x = 10,597,570,080.25/49,424.25
  6. Step 6: Final answer
    x = 214,420.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.