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Finding the Third Proportional to 156,997,094,105 and 342,409,009,990

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Solution

The third proportional to 156,997,094,105 and 342,409,009,990 is: 746,790,447,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,997,094,105 : 342,409,009,990 = 342,409,009,990 : x
  2. Step 2: Convert to fraction form
    156,997,094,105/342,409,009,990 = 342,409,009,990/x
  3. Step 3: Cross multiply
    156,997,094,105x = 342,409,009,990 × 342,409,009,990
  4. Step 4: Simplify right side
    156,997,094,105x = 117,243,930,122,331,923,415,040
  5. Step 5: Solve for x
    x = 117,243,930,122,331,923,415,040/156,997,094,105
  6. Step 6: Final answer
    x = 746,790,447,241.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.