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Finding the Third Proportional to 76,656,586.50 and 167,187,215.25

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Solution

The third proportional to 76,656,586.50 and 167,187,215.25 is: 364,633,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656,586.50 : 167,187,215.25 = 167,187,215.25 : x
  2. Step 2: Convert to fraction form
    76,656,586.50/167,187,215.25 = 167,187,215.25/x
  3. Step 3: Cross multiply
    76,656,586.50x = 167,187,215.25 × 167,187,215.25
  4. Step 4: Simplify right side
    76,656,586.50x = 27,951,564,943,049,832
  5. Step 5: Solve for x
    x = 27,951,564,943,049,832/76,656,586.50
  6. Step 6: Final answer
    x = 364,633,571.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.