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Finding the Third Proportional to 206,954,172 and 450,649,971

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Solution

The third proportional to 206,954,172 and 450,649,971 is: 981,306,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,954,172 : 450,649,971 = 450,649,971 : x
  2. Step 2: Convert to fraction form
    206,954,172/450,649,971 = 450,649,971/x
  3. Step 3: Cross multiply
    206,954,172x = 450,649,971 × 450,649,971
  4. Step 4: Simplify right side
    206,954,172x = 203,085,396,362,300,832
  5. Step 5: Solve for x
    x = 203,085,396,362,300,832/206,954,172
  6. Step 6: Final answer
    x = 981,306,123.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.