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Finding the Third Proportional to 51,134,936 and 109,449,246

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Solution

The third proportional to 51,134,936 and 109,449,246 is: 234,265,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,134,936 : 109,449,246 = 109,449,246 : x
  2. Step 2: Convert to fraction form
    51,134,936/109,449,246 = 109,449,246/x
  3. Step 3: Cross multiply
    51,134,936x = 109,449,246 × 109,449,246
  4. Step 4: Simplify right side
    51,134,936x = 11,979,137,449,968,516
  5. Step 5: Solve for x
    x = 11,979,137,449,968,516/51,134,936
  6. Step 6: Final answer
    x = 234,265,228.18

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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.