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Finding the Third Proportional to 199,836,843 and 299,755,233

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Solution

The third proportional to 199,836,843 and 299,755,233 is: 449,632,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836,843 : 299,755,233 = 299,755,233 : x
  2. Step 2: Convert to fraction form
    199,836,843/299,755,233 = 299,755,233/x
  3. Step 3: Cross multiply
    199,836,843x = 299,755,233 × 299,755,233
  4. Step 4: Simplify right side
    199,836,843x = 89,853,199,710,884,288
  5. Step 5: Solve for x
    x = 89,853,199,710,884,288/199,836,843
  6. Step 6: Final answer
    x = 449,632,802.25

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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.