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Finding the Third Proportional to 188,062,104 and 284,937,384

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Solution

The third proportional to 188,062,104 and 284,937,384 is: 431,715,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,062,104 : 284,937,384 = 284,937,384 : x
  2. Step 2: Convert to fraction form
    188,062,104/284,937,384 = 284,937,384/x
  3. Step 3: Cross multiply
    188,062,104x = 284,937,384 × 284,937,384
  4. Step 4: Simplify right side
    188,062,104x = 81,189,312,800,763,456
  5. Step 5: Solve for x
    x = 81,189,312,800,763,456/188,062,104
  6. Step 6: Final answer
    x = 431,715,433.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.