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Finding the Third Proportional to 46,175.06 and 101,027.25

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Solution

The third proportional to 46,175.06 and 101,027.25 is: 221,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,175.06 : 101,027.25 = 101,027.25 : x
  2. Step 2: Convert to fraction form
    46,175.06/101,027.25 = 101,027.25/x
  3. Step 3: Cross multiply
    46,175.06x = 101,027.25 × 101,027.25
  4. Step 4: Simplify right side
    46,175.06x = 10,206,505,242.56
  5. Step 5: Solve for x
    x = 10,206,505,242.56/46,175.06
  6. Step 6: Final answer
    x = 221,039.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.