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Finding the Third Proportional to 89,976,252,896 and 193,493,622,474

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Solution

The third proportional to 89,976,252,896 and 193,493,622,474 is: 416,107,369,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,976,252,896 : 193,493,622,474 = 193,493,622,474 : x
  2. Step 2: Convert to fraction form
    89,976,252,896/193,493,622,474 = 193,493,622,474/x
  3. Step 3: Cross multiply
    89,976,252,896x = 193,493,622,474 × 193,493,622,474
  4. Step 4: Simplify right side
    89,976,252,896x = 37,439,781,938,110,838,865,920
  5. Step 5: Solve for x
    x = 37,439,781,938,110,838,865,920/89,976,252,896
  6. Step 6: Final answer
    x = 416,107,369,812.19

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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.