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Finding the Third Proportional to 70,166,868,848 and 151,517,119,696

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Solution

The third proportional to 70,166,868,848 and 151,517,119,696 is: 327,183,440,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166,868,848 : 151,517,119,696 = 151,517,119,696 : x
  2. Step 2: Convert to fraction form
    70,166,868,848/151,517,119,696 = 151,517,119,696/x
  3. Step 3: Cross multiply
    70,166,868,848x = 151,517,119,696 × 151,517,119,696
  4. Step 4: Simplify right side
    70,166,868,848x = 22,957,437,560,971,992,236,032
  5. Step 5: Solve for x
    x = 22,957,437,560,971,992,236,032/70,166,868,848
  6. Step 6: Final answer
    x = 327,183,440,530.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.