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Finding the Third Proportional to 201,914,216 and 439,205,891

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Solution

The third proportional to 201,914,216 and 439,205,891 is: 955,365,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914,216 : 439,205,891 = 439,205,891 : x
  2. Step 2: Convert to fraction form
    201,914,216/439,205,891 = 439,205,891/x
  3. Step 3: Cross multiply
    201,914,216x = 439,205,891 × 439,205,891
  4. Step 4: Simplify right side
    201,914,216x = 192,901,814,689,103,872
  5. Step 5: Solve for x
    x = 192,901,814,689,103,872/201,914,216
  6. Step 6: Final answer
    x = 955,365,196.72

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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.