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Finding the Third Proportional to 132,705,661.50 and 199,058,517.56

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Solution

The third proportional to 132,705,661.50 and 199,058,517.56 is: 298,587,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705,661.50 : 199,058,517.56 = 199,058,517.56 : x
  2. Step 2: Convert to fraction form
    132,705,661.50/199,058,517.56 = 199,058,517.56/x
  3. Step 3: Cross multiply
    132,705,661.50x = 199,058,517.56 × 199,058,517.56
  4. Step 4: Simplify right side
    132,705,661.50x = 39,624,293,414,180,120
  5. Step 5: Solve for x
    x = 39,624,293,414,180,120/132,705,661.50
  6. Step 6: Final answer
    x = 298,587,814.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.