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Finding the Third Proportional to 46,485 and 100,694.25

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Solution

The third proportional to 46,485 and 100,694.25 is: 218,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,485 : 100,694.25 = 100,694.25 : x
  2. Step 2: Convert to fraction form
    46,485/100,694.25 = 100,694.25/x
  3. Step 3: Cross multiply
    46,485x = 100,694.25 × 100,694.25
  4. Step 4: Simplify right side
    46,485x = 10,139,331,983.06
  5. Step 5: Solve for x
    x = 10,139,331,983.06/46,485
  6. Step 6: Final answer
    x = 218,120.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.