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Finding the Third Proportional to 133,984,890 and 290,228,612

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Solution

The third proportional to 133,984,890 and 290,228,612 is: 628,672,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,984,890 : 290,228,612 = 290,228,612 : x
  2. Step 2: Convert to fraction form
    133,984,890/290,228,612 = 290,228,612/x
  3. Step 3: Cross multiply
    133,984,890x = 290,228,612 × 290,228,612
  4. Step 4: Simplify right side
    133,984,890x = 84,232,647,223,446,544
  5. Step 5: Solve for x
    x = 84,232,647,223,446,544/133,984,890
  6. Step 6: Final answer
    x = 628,672,734.84

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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.