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Finding the Third Proportional to 50,611,645,764.56 and 108,840,169,661.62

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Solution

The third proportional to 50,611,645,764.56 and 108,840,169,661.62 is: 234,060,409,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,611,645,764.56 : 108,840,169,661.62 = 108,840,169,661.62 : x
  2. Step 2: Convert to fraction form
    50,611,645,764.56/108,840,169,661.62 = 108,840,169,661.62/x
  3. Step 3: Cross multiply
    50,611,645,764.56x = 108,840,169,661.62 × 108,840,169,661.62
  4. Step 4: Simplify right side
    50,611,645,764.56x = 11,846,182,531,970,224,881,664
  5. Step 5: Solve for x
    x = 11,846,182,531,970,224,881,664/50,611,645,764.56
  6. Step 6: Final answer
    x = 234,060,409,477.25

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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.