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Finding the Third Proportional to 51,134,966 and 109,449,298

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Solution

The third proportional to 51,134,966 and 109,449,298 is: 234,265,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,134,966 : 109,449,298 = 109,449,298 : x
  2. Step 2: Convert to fraction form
    51,134,966/109,449,298 = 109,449,298/x
  3. Step 3: Cross multiply
    51,134,966x = 109,449,298 × 109,449,298
  4. Step 4: Simplify right side
    51,134,966x = 11,979,148,832,692,804
  5. Step 5: Solve for x
    x = 11,979,148,832,692,804/51,134,966
  6. Step 6: Final answer
    x = 234,265,313.34

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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.