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Finding the Third Proportional to 88,729.31 and 194,664.38

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Solution

The third proportional to 88,729.31 and 194,664.38 is: 427,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,729.31 : 194,664.38 = 194,664.38 : x
  2. Step 2: Convert to fraction form
    88,729.31/194,664.38 = 194,664.38/x
  3. Step 3: Cross multiply
    88,729.31x = 194,664.38 × 194,664.38
  4. Step 4: Simplify right side
    88,729.31x = 37,894,218,894.14
  5. Step 5: Solve for x
    x = 37,894,218,894.14/88,729.31
  6. Step 6: Final answer
    x = 427,076.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.