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Finding the Third Proportional to 89,811.28 and 191,818.13

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Solution

The third proportional to 89,811.28 and 191,818.13 is: 409,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,811.28 : 191,818.13 = 191,818.13 : x
  2. Step 2: Convert to fraction form
    89,811.28/191,818.13 = 191,818.13/x
  3. Step 3: Cross multiply
    89,811.28x = 191,818.13 × 191,818.13
  4. Step 4: Simplify right side
    89,811.28x = 36,794,193,078.52
  5. Step 5: Solve for x
    x = 36,794,193,078.52/89,811.28
  6. Step 6: Final answer
    x = 409,683.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.