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Finding the Third Proportional to 199,371,170,042 and 428,980,659,530

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Solution

The third proportional to 199,371,170,042 and 428,980,659,530 is: 923,024,157,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,371,170,042 : 428,980,659,530 = 428,980,659,530 : x
  2. Step 2: Convert to fraction form
    199,371,170,042/428,980,659,530 = 428,980,659,530/x
  3. Step 3: Cross multiply
    199,371,170,042x = 428,980,659,530 × 428,980,659,530
  4. Step 4: Simplify right side
    199,371,170,042x = 184,024,406,250,793,790,865,408
  5. Step 5: Solve for x
    x = 184,024,406,250,793,790,865,408/199,371,170,042
  6. Step 6: Final answer
    x = 923,024,157,464.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.