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Finding the Third Proportional to 132,705,693 and 199,058,559

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Solution

The third proportional to 132,705,693 and 199,058,559 is: 298,587,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705,693 : 199,058,559 = 199,058,559 : x
  2. Step 2: Convert to fraction form
    132,705,693/199,058,559 = 199,058,559/x
  3. Step 3: Cross multiply
    132,705,693x = 199,058,559 × 199,058,559
  4. Step 4: Simplify right side
    132,705,693x = 39,624,309,911,156,480
  5. Step 5: Solve for x
    x = 39,624,309,911,156,480/132,705,693
  6. Step 6: Final answer
    x = 298,587,867.75

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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.