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Finding the Third Proportional to 188,588,694 and 283,584,873

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Solution

The third proportional to 188,588,694 and 283,584,873 is: 426,432,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,588,694 : 283,584,873 = 283,584,873 : x
  2. Step 2: Convert to fraction form
    188,588,694/283,584,873 = 283,584,873/x
  3. Step 3: Cross multiply
    188,588,694x = 283,584,873 × 283,584,873
  4. Step 4: Simplify right side
    188,588,694x = 80,420,380,194,426,128
  5. Step 5: Solve for x
    x = 80,420,380,194,426,128/188,588,694
  6. Step 6: Final answer
    x = 426,432,669.36

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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.