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Finding the Third Proportional to 100,586.81 and 213,164.16

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Solution

The third proportional to 100,586.81 and 213,164.16 is: 451,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.81 : 213,164.16 = 213,164.16 : x
  2. Step 2: Convert to fraction form
    100,586.81/213,164.16 = 213,164.16/x
  3. Step 3: Cross multiply
    100,586.81x = 213,164.16 × 213,164.16
  4. Step 4: Simplify right side
    100,586.81x = 45,438,957,509.77
  5. Step 5: Solve for x
    x = 45,438,957,509.77/100,586.81
  6. Step 6: Final answer
    x = 451,738.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.