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Finding the Third Proportional to 132,705,523.50 and 199,058,302.50

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Solution

The third proportional to 132,705,523.50 and 199,058,302.50 is: 298,587,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705,523.50 : 199,058,302.50 = 199,058,302.50 : x
  2. Step 2: Convert to fraction form
    132,705,523.50/199,058,302.50 = 199,058,302.50/x
  3. Step 3: Cross multiply
    132,705,523.50x = 199,058,302.50 × 199,058,302.50
  4. Step 4: Simplify right side
    132,705,523.50x = 39,624,207,794,181,504
  5. Step 5: Solve for x
    x = 39,624,207,794,181,504/132,705,523.50
  6. Step 6: Final answer
    x = 298,587,479.63

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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.