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Finding the Third Proportional to 46,145.25 and 100,629

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Solution

The third proportional to 46,145.25 and 100,629 is: 219,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,145.25 : 100,629 = 100,629 : x
  2. Step 2: Convert to fraction form
    46,145.25/100,629 = 100,629/x
  3. Step 3: Cross multiply
    46,145.25x = 100,629 × 100,629
  4. Step 4: Simplify right side
    46,145.25x = 10,126,195,641
  5. Step 5: Solve for x
    x = 10,126,195,641/46,145.25
  6. Step 6: Final answer
    x = 219,441.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.