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Finding the Third Proportional to 201,914,226 and 439,205,912

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Solution

The third proportional to 201,914,226 and 439,205,912 is: 955,365,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914,226 : 439,205,912 = 439,205,912 : x
  2. Step 2: Convert to fraction form
    201,914,226/439,205,912 = 439,205,912/x
  3. Step 3: Cross multiply
    201,914,226x = 439,205,912 × 439,205,912
  4. Step 4: Simplify right side
    201,914,226x = 192,901,833,135,751,744
  5. Step 5: Solve for x
    x = 192,901,833,135,751,744/201,914,226
  6. Step 6: Final answer
    x = 955,365,240.76

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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.