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Finding the Third Proportional to 68,071.80 and 149,578.84

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Solution

The third proportional to 68,071.80 and 149,578.84 is: 328,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,071.80 : 149,578.84 = 149,578.84 : x
  2. Step 2: Convert to fraction form
    68,071.80/149,578.84 = 149,578.84/x
  3. Step 3: Cross multiply
    68,071.80x = 149,578.84 × 149,578.84
  4. Step 4: Simplify right side
    68,071.80x = 22,373,829,329.00
  5. Step 5: Solve for x
    x = 22,373,829,329.00/68,071.80
  6. Step 6: Final answer
    x = 328,679.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.