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Finding the Third Proportional to 188,588,698 and 283,584,880

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Solution

The third proportional to 188,588,698 and 283,584,880 is: 426,432,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,588,698 : 283,584,880 = 283,584,880 : x
  2. Step 2: Convert to fraction form
    188,588,698/283,584,880 = 283,584,880/x
  3. Step 3: Cross multiply
    188,588,698x = 283,584,880 × 283,584,880
  4. Step 4: Simplify right side
    188,588,698x = 80,420,384,164,614,400
  5. Step 5: Solve for x
    x = 80,420,384,164,614,400/188,588,698
  6. Step 6: Final answer
    x = 426,432,681.37

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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.