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Finding the Third Proportional to 89,976,253,176 and 193,493,623,032

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Solution

The third proportional to 89,976,253,176 and 193,493,623,032 is: 416,107,370,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,976,253,176 : 193,493,623,032 = 193,493,623,032 : x
  2. Step 2: Convert to fraction form
    89,976,253,176/193,493,623,032 = 193,493,623,032/x
  3. Step 3: Cross multiply
    89,976,253,176x = 193,493,623,032 × 193,493,623,032
  4. Step 4: Simplify right side
    89,976,253,176x = 37,439,782,154,049,719,107,584
  5. Step 5: Solve for x
    x = 37,439,782,154,049,719,107,584/89,976,253,176
  6. Step 6: Final answer
    x = 416,107,370,917.24

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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.