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Finding the Third Proportional to 149,647,179 and 321,572,598

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Solution

The third proportional to 149,647,179 and 321,572,598 is: 691,018,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647,179 : 321,572,598 = 321,572,598 : x
  2. Step 2: Convert to fraction form
    149,647,179/321,572,598 = 321,572,598/x
  3. Step 3: Cross multiply
    149,647,179x = 321,572,598 × 321,572,598
  4. Step 4: Simplify right side
    149,647,179x = 103,408,935,784,469,600
  5. Step 5: Solve for x
    x = 103,408,935,784,469,600/149,647,179
  6. Step 6: Final answer
    x = 691,018,276.96

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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.