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Finding the Third Proportional to 89,976,252,884 and 193,493,622,448

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Solution

The third proportional to 89,976,252,884 and 193,493,622,448 is: 416,107,369,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,976,252,884 : 193,493,622,448 = 193,493,622,448 : x
  2. Step 2: Convert to fraction form
    89,976,252,884/193,493,622,448 = 193,493,622,448/x
  3. Step 3: Cross multiply
    89,976,252,884x = 193,493,622,448 × 193,493,622,448
  4. Step 4: Simplify right side
    89,976,252,884x = 37,439,781,928,049,169,137,664
  5. Step 5: Solve for x
    x = 37,439,781,928,049,169,137,664/89,976,252,884
  6. Step 6: Final answer
    x = 416,107,369,755.86

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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.