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Finding the Third Proportional to 82,800.94 and 178,723.88

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Solution

The third proportional to 82,800.94 and 178,723.88 is: 385,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,800.94 : 178,723.88 = 178,723.88 : x
  2. Step 2: Convert to fraction form
    82,800.94/178,723.88 = 178,723.88/x
  3. Step 3: Cross multiply
    82,800.94x = 178,723.88 × 178,723.88
  4. Step 4: Simplify right side
    82,800.94x = 31,942,223,495.02
  5. Step 5: Solve for x
    x = 31,942,223,495.02/82,800.94
  6. Step 6: Final answer
    x = 385,771.28

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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.