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Finding the Third Proportional to 49,764,318 and 109,094,634

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Solution

The third proportional to 49,764,318 and 109,094,634 is: 239,160,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764,318 : 109,094,634 = 109,094,634 : x
  2. Step 2: Convert to fraction form
    49,764,318/109,094,634 = 109,094,634/x
  3. Step 3: Cross multiply
    49,764,318x = 109,094,634 × 109,094,634
  4. Step 4: Simplify right side
    49,764,318x = 11,901,639,167,593,956
  5. Step 5: Solve for x
    x = 11,901,639,167,593,956/49,764,318
  6. Step 6: Final answer
    x = 239,160,097.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.