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Finding the Third Proportional to 375,198,214.50 and 814,984,675.50

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Solution

The third proportional to 375,198,214.50 and 814,984,675.50 is: 1,770,264,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,198,214.50 : 814,984,675.50 = 814,984,675.50 : x
  2. Step 2: Convert to fraction form
    375,198,214.50/814,984,675.50 = 814,984,675.50/x
  3. Step 3: Cross multiply
    375,198,214.50x = 814,984,675.50 × 814,984,675.50
  4. Step 4: Simplify right side
    375,198,214.50x = 664,200,021,299,840,256
  5. Step 5: Solve for x
    x = 664,200,021,299,840,256/375,198,214.50
  6. Step 6: Final answer
    x = 1,770,264,344.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.