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Finding the Third Proportional to 141,285,810,168 and 217,166,419,872

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Solution

The third proportional to 141,285,810,168 and 217,166,419,872 is: 333,800,357,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,285,810,168 : 217,166,419,872 = 217,166,419,872 : x
  2. Step 2: Convert to fraction form
    141,285,810,168/217,166,419,872 = 217,166,419,872/x
  3. Step 3: Cross multiply
    141,285,810,168x = 217,166,419,872 × 217,166,419,872
  4. Step 4: Simplify right side
    141,285,810,168x = 47,161,253,920,021,799,763,968
  5. Step 5: Solve for x
    x = 47,161,253,920,021,799,763,968/141,285,810,168
  6. Step 6: Final answer
    x = 333,800,357,332.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.