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Finding the Third Proportional to 188,420,716 and 284,422,434

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Solution

The third proportional to 188,420,716 and 284,422,434 is: 429,337,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420,716 : 284,422,434 = 284,422,434 : x
  2. Step 2: Convert to fraction form
    188,420,716/284,422,434 = 284,422,434/x
  3. Step 3: Cross multiply
    188,420,716x = 284,422,434 × 284,422,434
  4. Step 4: Simplify right side
    188,420,716x = 80,896,120,962,484,352
  5. Step 5: Solve for x
    x = 80,896,120,962,484,352/188,420,716
  6. Step 6: Final answer
    x = 429,337,721.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.