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Finding the Third Proportional to 47,755,392,844.50 and 102,219,283,530

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Solution

The third proportional to 47,755,392,844.50 and 102,219,283,530 is: 218,797,947,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,392,844.50 : 102,219,283,530 = 102,219,283,530 : x
  2. Step 2: Convert to fraction form
    47,755,392,844.50/102,219,283,530 = 102,219,283,530/x
  3. Step 3: Cross multiply
    47,755,392,844.50x = 102,219,283,530 × 102,219,283,530
  4. Step 4: Simplify right side
    47,755,392,844.50x = 10,448,781,925,386,528,227,328
  5. Step 5: Solve for x
    x = 10,448,781,925,386,528,227,328/47,755,392,844.50
  6. Step 6: Final answer
    x = 218,797,947,268.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.