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Finding the Third Proportional to 203,690,505 and 416,793,855

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Solution

The third proportional to 203,690,505 and 416,793,855 is: 852,848,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,690,505 : 416,793,855 = 416,793,855 : x
  2. Step 2: Convert to fraction form
    203,690,505/416,793,855 = 416,793,855/x
  3. Step 3: Cross multiply
    203,690,505x = 416,793,855 × 416,793,855
  4. Step 4: Simplify right side
    203,690,505x = 173,717,117,565,761,024
  5. Step 5: Solve for x
    x = 173,717,117,565,761,024/203,690,505
  6. Step 6: Final answer
    x = 852,848,381.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.