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Finding the Third Proportional to 46,399.13 and 103,422.75

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Solution

The third proportional to 46,399.13 and 103,422.75 is: 230,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,399.13 : 103,422.75 = 103,422.75 : x
  2. Step 2: Convert to fraction form
    46,399.13/103,422.75 = 103,422.75/x
  3. Step 3: Cross multiply
    46,399.13x = 103,422.75 × 103,422.75
  4. Step 4: Simplify right side
    46,399.13x = 10,696,265,217.56
  5. Step 5: Solve for x
    x = 10,696,265,217.56/46,399.13
  6. Step 6: Final answer
    x = 230,527.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.