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Finding the Third Proportional to 149,205,944 and 321,086,713

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Solution

The third proportional to 149,205,944 and 321,086,713 is: 690,968,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205,944 : 321,086,713 = 321,086,713 : x
  2. Step 2: Convert to fraction form
    149,205,944/321,086,713 = 321,086,713/x
  3. Step 3: Cross multiply
    149,205,944x = 321,086,713 × 321,086,713
  4. Step 4: Simplify right side
    149,205,944x = 103,096,677,265,144,368
  5. Step 5: Solve for x
    x = 103,096,677,265,144,368/149,205,944
  6. Step 6: Final answer
    x = 690,968,968.80

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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.