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Finding the Third Proportional to 199,836,738 and 299,755,089

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Solution

The third proportional to 199,836,738 and 299,755,089 is: 449,632,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836,738 : 299,755,089 = 299,755,089 : x
  2. Step 2: Convert to fraction form
    199,836,738/299,755,089 = 299,755,089/x
  3. Step 3: Cross multiply
    199,836,738x = 299,755,089 × 299,755,089
  4. Step 4: Simplify right side
    199,836,738x = 89,853,113,381,397,920
  5. Step 5: Solve for x
    x = 89,853,113,381,397,920/199,836,738
  6. Step 6: Final answer
    x = 449,632,606.50

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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.