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Finding the Third Proportional to 76,453.88 and 165,186.84

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Solution

The third proportional to 76,453.88 and 165,186.84 is: 356,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,453.88 : 165,186.84 = 165,186.84 : x
  2. Step 2: Convert to fraction form
    76,453.88/165,186.84 = 165,186.84/x
  3. Step 3: Cross multiply
    76,453.88x = 165,186.84 × 165,186.84
  4. Step 4: Simplify right side
    76,453.88x = 27,286,693,348.09
  5. Step 5: Solve for x
    x = 27,286,693,348.09/76,453.88
  6. Step 6: Final answer
    x = 356,903.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.