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Finding the Third Proportional to 50,611,642,255.50 and 108,840,162,645

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Solution

The third proportional to 50,611,642,255.50 and 108,840,162,645 is: 234,060,395,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,611,642,255.50 : 108,840,162,645 = 108,840,162,645 : x
  2. Step 2: Convert to fraction form
    50,611,642,255.50/108,840,162,645 = 108,840,162,645/x
  3. Step 3: Cross multiply
    50,611,642,255.50x = 108,840,162,645 × 108,840,162,645
  4. Step 4: Simplify right side
    50,611,642,255.50x = 11,846,181,004,590,054,375,424
  5. Step 5: Solve for x
    x = 11,846,181,004,590,054,375,424/50,611,642,255.50
  6. Step 6: Final answer
    x = 234,060,395,526.94

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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.