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Finding the Third Proportional to 141,285,810,186 and 217,166,419,894.50

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Solution

The third proportional to 141,285,810,186 and 217,166,419,894.50 is: 333,800,357,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,285,810,186 : 217,166,419,894.50 = 217,166,419,894.50 : x
  2. Step 2: Convert to fraction form
    141,285,810,186/217,166,419,894.50 = 217,166,419,894.50/x
  3. Step 3: Cross multiply
    141,285,810,186x = 217,166,419,894.50 × 217,166,419,894.50
  4. Step 4: Simplify right side
    141,285,810,186x = 47,161,253,929,794,284,814,336
  5. Step 5: Solve for x
    x = 47,161,253,929,794,284,814,336/141,285,810,186
  6. Step 6: Final answer
    x = 333,800,357,358.66

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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.