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Finding the Third Proportional to 149,647,176 and 321,572,592

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Solution

The third proportional to 149,647,176 and 321,572,592 is: 691,018,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647,176 : 321,572,592 = 321,572,592 : x
  2. Step 2: Convert to fraction form
    149,647,176/321,572,592 = 321,572,592/x
  3. Step 3: Cross multiply
    149,647,176x = 321,572,592 × 321,572,592
  4. Step 4: Simplify right side
    149,647,176x = 103,408,931,925,598,464
  5. Step 5: Solve for x
    x = 103,408,931,925,598,464/149,647,176
  6. Step 6: Final answer
    x = 691,018,265.03

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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.