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Finding the Third Proportional to 86,148.56 and 189,286.88

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Solution

The third proportional to 86,148.56 and 189,286.88 is: 415,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,148.56 : 189,286.88 = 189,286.88 : x
  2. Step 2: Convert to fraction form
    86,148.56/189,286.88 = 189,286.88/x
  3. Step 3: Cross multiply
    86,148.56x = 189,286.88 × 189,286.88
  4. Step 4: Simplify right side
    86,148.56x = 35,829,521,047.27
  5. Step 5: Solve for x
    x = 35,829,521,047.27/86,148.56
  6. Step 6: Final answer
    x = 415,903.88

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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.