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Finding the Third Proportional to 101,396.81 and 216,366.19

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Solution

The third proportional to 101,396.81 and 216,366.19 is: 461,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,396.81 : 216,366.19 = 216,366.19 : x
  2. Step 2: Convert to fraction form
    101,396.81/216,366.19 = 216,366.19/x
  3. Step 3: Cross multiply
    101,396.81x = 216,366.19 × 216,366.19
  4. Step 4: Simplify right side
    101,396.81x = 46,814,327,093.29
  5. Step 5: Solve for x
    x = 46,814,327,093.29/101,396.81
  6. Step 6: Final answer
    x = 461,694.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.