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Finding the Third Proportional to 149,205,969 and 321,086,760.75

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Solution

The third proportional to 149,205,969 and 321,086,760.75 is: 690,969,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205,969 : 321,086,760.75 = 321,086,760.75 : x
  2. Step 2: Convert to fraction form
    149,205,969/321,086,760.75 = 321,086,760.75/x
  3. Step 3: Cross multiply
    149,205,969x = 321,086,760.75 × 321,086,760.75
  4. Step 4: Simplify right side
    149,205,969x = 103,096,707,928,927,744
  5. Step 5: Solve for x
    x = 103,096,707,928,927,744/149,205,969
  6. Step 6: Final answer
    x = 690,969,058.54

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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.