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Finding the Third Proportional to 133,341,529 and 200,367,320

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Solution

The third proportional to 133,341,529 and 200,367,320 is: 301,084,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341,529 : 200,367,320 = 200,367,320 : x
  2. Step 2: Convert to fraction form
    133,341,529/200,367,320 = 200,367,320/x
  3. Step 3: Cross multiply
    133,341,529x = 200,367,320 × 200,367,320
  4. Step 4: Simplify right side
    133,341,529x = 40,147,062,923,982,400
  5. Step 5: Solve for x
    x = 40,147,062,923,982,400/133,341,529
  6. Step 6: Final answer
    x = 301,084,465.02

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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.