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Finding the Third Proportional to 133,224,507 and 199,836,747

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Solution

The third proportional to 133,224,507 and 199,836,747 is: 299,755,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224,507 : 199,836,747 = 199,836,747 : x
  2. Step 2: Convert to fraction form
    133,224,507/199,836,747 = 199,836,747/x
  3. Step 3: Cross multiply
    133,224,507x = 199,836,747 × 199,836,747
  4. Step 4: Simplify right side
    133,224,507x = 39,934,725,451,542,008
  5. Step 5: Solve for x
    x = 39,934,725,451,542,008/133,224,507
  6. Step 6: Final answer
    x = 299,755,100.25

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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.