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Finding the Third Proportional to 239,682,427.31 and 515,768,563.13

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Solution

The third proportional to 239,682,427.31 and 515,768,563.13 is: 1,109,873,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,682,427.31 : 515,768,563.13 = 515,768,563.13 : x
  2. Step 2: Convert to fraction form
    239,682,427.31/515,768,563.13 = 515,768,563.13/x
  3. Step 3: Cross multiply
    239,682,427.31x = 515,768,563.13 × 515,768,563.13
  4. Step 4: Simplify right side
    239,682,427.31x = 266,017,210,708,027,104
  5. Step 5: Solve for x
    x = 266,017,210,708,027,104/239,682,427.31
  6. Step 6: Final answer
    x = 1,109,873,651.11

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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.