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Finding the Third Proportional to 87,113,692 and 189,589,984

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Solution

The third proportional to 87,113,692 and 189,589,984 is: 412,614,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,113,692 : 189,589,984 = 189,589,984 : x
  2. Step 2: Convert to fraction form
    87,113,692/189,589,984 = 189,589,984/x
  3. Step 3: Cross multiply
    87,113,692x = 189,589,984 × 189,589,984
  4. Step 4: Simplify right side
    87,113,692x = 35,944,362,033,120,256
  5. Step 5: Solve for x
    x = 35,944,362,033,120,256/87,113,692
  6. Step 6: Final answer
    x = 412,614,380.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.