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Finding the Third Proportional to 189,153,036 and 407,485,512

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Solution

The third proportional to 189,153,036 and 407,485,512 is: 877,831,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,153,036 : 407,485,512 = 407,485,512 : x
  2. Step 2: Convert to fraction form
    189,153,036/407,485,512 = 407,485,512/x
  3. Step 3: Cross multiply
    189,153,036x = 407,485,512 × 407,485,512
  4. Step 4: Simplify right side
    189,153,036x = 166,044,442,489,902,144
  5. Step 5: Solve for x
    x = 166,044,442,489,902,144/189,153,036
  6. Step 6: Final answer
    x = 877,831,231.27

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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.