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Finding the Third Proportional to 201,914,240 and 439,205,932

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Solution

The third proportional to 201,914,240 and 439,205,932 is: 955,365,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914,240 : 439,205,932 = 439,205,932 : x
  2. Step 2: Convert to fraction form
    201,914,240/439,205,932 = 439,205,932/x
  3. Step 3: Cross multiply
    201,914,240x = 439,205,932 × 439,205,932
  4. Step 4: Simplify right side
    201,914,240x = 192,901,850,703,988,608
  5. Step 5: Solve for x
    x = 192,901,850,703,988,608/201,914,240
  6. Step 6: Final answer
    x = 955,365,261.53

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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.