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Finding the Third Proportional to 51,134,964 and 109,449,294

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Solution

The third proportional to 51,134,964 and 109,449,294 is: 234,265,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,134,964 : 109,449,294 = 109,449,294 : x
  2. Step 2: Convert to fraction form
    51,134,964/109,449,294 = 109,449,294/x
  3. Step 3: Cross multiply
    51,134,964x = 109,449,294 × 109,449,294
  4. Step 4: Simplify right side
    51,134,964x = 11,979,147,957,098,436
  5. Step 5: Solve for x
    x = 11,979,147,957,098,436/51,134,964
  6. Step 6: Final answer
    x = 234,265,305.38

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