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Finding the Third Proportional to 76,472.86 and 154,441.69

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Solution

The third proportional to 76,472.86 and 154,441.69 is: 311,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.86 : 154,441.69 = 154,441.69 : x
  2. Step 2: Convert to fraction form
    76,472.86/154,441.69 = 154,441.69/x
  3. Step 3: Cross multiply
    76,472.86x = 154,441.69 × 154,441.69
  4. Step 4: Simplify right side
    76,472.86x = 23,852,234,837.85
  5. Step 5: Solve for x
    x = 23,852,234,837.85/76,472.86
  6. Step 6: Final answer
    x = 311,904.58

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.