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Finding the Third Proportional to 96,586.59 and 211,626

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Solution

The third proportional to 96,586.59 and 211,626 is: 463,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,586.59 : 211,626 = 211,626 : x
  2. Step 2: Convert to fraction form
    96,586.59/211,626 = 211,626/x
  3. Step 3: Cross multiply
    96,586.59x = 211,626 × 211,626
  4. Step 4: Simplify right side
    96,586.59x = 44,785,563,876
  5. Step 5: Solve for x
    x = 44,785,563,876/96,586.59
  6. Step 6: Final answer
    x = 463,683.02

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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.