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Finding the Third Proportional to 50,611,642,257.41 and 108,840,162,647.32

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Solution

The third proportional to 50,611,642,257.41 and 108,840,162,647.32 is: 234,060,395,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,611,642,257.41 : 108,840,162,647.32 = 108,840,162,647.32 : x
  2. Step 2: Convert to fraction form
    50,611,642,257.41/108,840,162,647.32 = 108,840,162,647.32/x
  3. Step 3: Cross multiply
    50,611,642,257.41x = 108,840,162,647.32 × 108,840,162,647.32
  4. Step 4: Simplify right side
    50,611,642,257.41x = 11,846,181,005,095,073,742,848
  5. Step 5: Solve for x
    x = 11,846,181,005,095,073,742,848/50,611,642,257.41
  6. Step 6: Final answer
    x = 234,060,395,528.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.