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Finding the Third Proportional to 82,804.50 and 179,611.88

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Solution

The third proportional to 82,804.50 and 179,611.88 is: 389,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,804.50 : 179,611.88 = 179,611.88 : x
  2. Step 2: Convert to fraction form
    82,804.50/179,611.88 = 179,611.88/x
  3. Step 3: Cross multiply
    82,804.50x = 179,611.88 × 179,611.88
  4. Step 4: Simplify right side
    82,804.50x = 32,260,425,641.02
  5. Step 5: Solve for x
    x = 32,260,425,641.02/82,804.50
  6. Step 6: Final answer
    x = 389,597.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.