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Finding the Third Proportional to 201,914,266 and 439,205,984

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Solution

The third proportional to 201,914,266 and 439,205,984 is: 955,365,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914,266 : 439,205,984 = 439,205,984 : x
  2. Step 2: Convert to fraction form
    201,914,266/439,205,984 = 439,205,984/x
  3. Step 3: Cross multiply
    201,914,266x = 439,205,984 × 439,205,984
  4. Step 4: Simplify right side
    201,914,266x = 192,901,896,381,408,256
  5. Step 5: Solve for x
    x = 192,901,896,381,408,256/201,914,266
  6. Step 6: Final answer
    x = 955,365,364.73

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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.