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Finding the Third Proportional to 203,690,526 and 416,793,906

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Solution

The third proportional to 203,690,526 and 416,793,906 is: 852,848,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,690,526 : 416,793,906 = 416,793,906 : x
  2. Step 2: Convert to fraction form
    203,690,526/416,793,906 = 416,793,906/x
  3. Step 3: Cross multiply
    203,690,526x = 416,793,906 × 416,793,906
  4. Step 4: Simplify right side
    203,690,526x = 173,717,160,078,736,832
  5. Step 5: Solve for x
    x = 173,717,160,078,736,832/203,690,526
  6. Step 6: Final answer
    x = 852,848,502.53

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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.