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Finding the Third Proportional to 199,836,855 and 299,755,251

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Solution

The third proportional to 199,836,855 and 299,755,251 is: 449,632,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836,855 : 299,755,251 = 299,755,251 : x
  2. Step 2: Convert to fraction form
    199,836,855/299,755,251 = 299,755,251/x
  3. Step 3: Cross multiply
    199,836,855x = 299,755,251 × 299,755,251
  4. Step 4: Simplify right side
    199,836,855x = 89,853,210,502,073,008
  5. Step 5: Solve for x
    x = 89,853,210,502,073,008/199,836,855
  6. Step 6: Final answer
    x = 449,632,829.25

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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.