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Finding the Third Proportional to 76,419.94 and 179,812.88

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Solution

The third proportional to 76,419.94 and 179,812.88 is: 423,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419.94 : 179,812.88 = 179,812.88 : x
  2. Step 2: Convert to fraction form
    76,419.94/179,812.88 = 179,812.88/x
  3. Step 3: Cross multiply
    76,419.94x = 179,812.88 × 179,812.88
  4. Step 4: Simplify right side
    76,419.94x = 32,332,670,015.77
  5. Step 5: Solve for x
    x = 32,332,670,015.77/76,419.94
  6. Step 6: Final answer
    x = 423,092.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.