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Finding the Third Proportional to 133,341,569 and 200,367,350

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Solution

The third proportional to 133,341,569 and 200,367,350 is: 301,084,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341,569 : 200,367,350 = 200,367,350 : x
  2. Step 2: Convert to fraction form
    133,341,569/200,367,350 = 200,367,350/x
  3. Step 3: Cross multiply
    133,341,569x = 200,367,350 × 200,367,350
  4. Step 4: Simplify right side
    133,341,569x = 40,147,074,946,022,496
  5. Step 5: Solve for x
    x = 40,147,074,946,022,496/133,341,569
  6. Step 6: Final answer
    x = 301,084,464.86

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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.