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Finding the Third Proportional to 239,936,674,351.50 and 515,982,993,183

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Solution

The third proportional to 239,936,674,351.50 and 515,982,993,183 is: 1,109,619,652,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,936,674,351.50 : 515,982,993,183 = 515,982,993,183 : x
  2. Step 2: Convert to fraction form
    239,936,674,351.50/515,982,993,183 = 515,982,993,183/x
  3. Step 3: Cross multiply
    239,936,674,351.50x = 515,982,993,183 × 515,982,993,183
  4. Step 4: Simplify right side
    239,936,674,351.50x = 266,238,449,254,087,826,341,888
  5. Step 5: Solve for x
    x = 266,238,449,254,087,826,341,888/239,936,674,351.50
  6. Step 6: Final answer
    x = 1,109,619,652,659.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.