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Finding the Third Proportional to 110,334,903 and 234,119,138

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Solution

The third proportional to 110,334,903 and 234,119,138 is: 496,776,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,334,903 : 234,119,138 = 234,119,138 : x
  2. Step 2: Convert to fraction form
    110,334,903/234,119,138 = 234,119,138/x
  3. Step 3: Cross multiply
    110,334,903x = 234,119,138 × 234,119,138
  4. Step 4: Simplify right side
    110,334,903x = 54,811,770,777,863,040
  5. Step 5: Solve for x
    x = 54,811,770,777,863,040/110,334,903
  6. Step 6: Final answer
    x = 496,776,353.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.