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Finding the Third Proportional to 49,937,013 and 109,420,270.50

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Solution

The third proportional to 49,937,013 and 109,420,270.50 is: 239,757,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,937,013 : 109,420,270.50 = 109,420,270.50 : x
  2. Step 2: Convert to fraction form
    49,937,013/109,420,270.50 = 109,420,270.50/x
  3. Step 3: Cross multiply
    49,937,013x = 109,420,270.50 × 109,420,270.50
  4. Step 4: Simplify right side
    49,937,013x = 11,972,795,596,293,170
  5. Step 5: Solve for x
    x = 11,972,795,596,293,170/49,937,013
  6. Step 6: Final answer
    x = 239,757,944.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.