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Finding the Third Proportional to 132,377,883.75 and 288,591,233.75

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Solution

The third proportional to 132,377,883.75 and 288,591,233.75 is: 629,145,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,377,883.75 : 288,591,233.75 = 288,591,233.75 : x
  2. Step 2: Convert to fraction form
    132,377,883.75/288,591,233.75 = 288,591,233.75/x
  3. Step 3: Cross multiply
    132,377,883.75x = 288,591,233.75 × 288,591,233.75
  4. Step 4: Simplify right side
    132,377,883.75x = 83,284,900,197,347,136
  5. Step 5: Solve for x
    x = 83,284,900,197,347,136/132,377,883.75
  6. Step 6: Final answer
    x = 629,145,124.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.