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Finding the Third Proportional to 201,081,636 and 433,906,449

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Solution

The third proportional to 201,081,636 and 433,906,449 is: 936,310,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,081,636 : 433,906,449 = 433,906,449 : x
  2. Step 2: Convert to fraction form
    201,081,636/433,906,449 = 433,906,449/x
  3. Step 3: Cross multiply
    201,081,636x = 433,906,449 × 433,906,449
  4. Step 4: Simplify right side
    201,081,636x = 188,274,806,483,789,600
  5. Step 5: Solve for x
    x = 188,274,806,483,789,600/201,081,636
  6. Step 6: Final answer
    x = 936,310,297.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.