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Finding the Third Proportional to 149,205,942 and 321,086,706.75

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Solution

The third proportional to 149,205,942 and 321,086,706.75 is: 690,968,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205,942 : 321,086,706.75 = 321,086,706.75 : x
  2. Step 2: Convert to fraction form
    149,205,942/321,086,706.75 = 321,086,706.75/x
  3. Step 3: Cross multiply
    149,205,942x = 321,086,706.75 × 321,086,706.75
  4. Step 4: Simplify right side
    149,205,942x = 103,096,673,251,560,496
  5. Step 5: Solve for x
    x = 103,096,673,251,560,496/149,205,942
  6. Step 6: Final answer
    x = 690,968,951.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.