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Finding the Third Proportional to 177,579,979,078 and 364,573,990,170

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Solution

The third proportional to 177,579,979,078 and 364,573,990,170 is: 748,475,109,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,579,979,078 : 364,573,990,170 = 364,573,990,170 : x
  2. Step 2: Convert to fraction form
    177,579,979,078/364,573,990,170 = 364,573,990,170/x
  3. Step 3: Cross multiply
    177,579,979,078x = 364,573,990,170 × 364,573,990,170
  4. Step 4: Simplify right side
    177,579,979,078x = 132,914,194,308,475,255,783,424
  5. Step 5: Solve for x
    x = 132,914,194,308,475,255,783,424/177,579,979,078
  6. Step 6: Final answer
    x = 748,475,109,629.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.