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Finding the Third Proportional to 149,437,880 and 324,383,560

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Solution

The third proportional to 149,437,880 and 324,383,560 is: 704,136,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,437,880 : 324,383,560 = 324,383,560 : x
  2. Step 2: Convert to fraction form
    149,437,880/324,383,560 = 324,383,560/x
  3. Step 3: Cross multiply
    149,437,880x = 324,383,560 × 324,383,560
  4. Step 4: Simplify right side
    149,437,880x = 105,224,693,998,273,600
  5. Step 5: Solve for x
    x = 105,224,693,998,273,600/149,437,880
  6. Step 6: Final answer
    x = 704,136,688.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.