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Finding the Third Proportional to 149,877,619 and 224,816,410

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Solution

The third proportional to 149,877,619 and 224,816,410 is: 337,224,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,877,619 : 224,816,410 = 224,816,410 : x
  2. Step 2: Convert to fraction form
    149,877,619/224,816,410 = 224,816,410/x
  3. Step 3: Cross multiply
    149,877,619x = 224,816,410 × 224,816,410
  4. Step 4: Simplify right side
    149,877,619x = 50,542,418,205,288,096
  5. Step 5: Solve for x
    x = 50,542,418,205,288,096/149,877,619
  6. Step 6: Final answer
    x = 337,224,587.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.