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Finding the Third Proportional to 51,134,932 and 109,449,239

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Solution

The third proportional to 51,134,932 and 109,449,239 is: 234,265,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,134,932 : 109,449,239 = 109,449,239 : x
  2. Step 2: Convert to fraction form
    51,134,932/109,449,239 = 109,449,239/x
  3. Step 3: Cross multiply
    51,134,932x = 109,449,239 × 109,449,239
  4. Step 4: Simplify right side
    51,134,932x = 11,979,135,917,679,120
  5. Step 5: Solve for x
    x = 11,979,135,917,679,120/51,134,932
  6. Step 6: Final answer
    x = 234,265,216.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.