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Finding the Third Proportional to 166,926,960 and 356,826,141

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Solution

The third proportional to 166,926,960 and 356,826,141 is: 762,758,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,926,960 : 356,826,141 = 356,826,141 : x
  2. Step 2: Convert to fraction form
    166,926,960/356,826,141 = 356,826,141/x
  3. Step 3: Cross multiply
    166,926,960x = 356,826,141 × 356,826,141
  4. Step 4: Simplify right side
    166,926,960x = 127,324,894,900,951,888
  5. Step 5: Solve for x
    x = 127,324,894,900,951,888/166,926,960
  6. Step 6: Final answer
    x = 762,758,124.28

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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.