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Finding the Third Proportional to 101,752.25 and 221,010.75

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Solution

The third proportional to 101,752.25 and 221,010.75 is: 480,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,752.25 : 221,010.75 = 221,010.75 : x
  2. Step 2: Convert to fraction form
    101,752.25/221,010.75 = 221,010.75/x
  3. Step 3: Cross multiply
    101,752.25x = 221,010.75 × 221,010.75
  4. Step 4: Simplify right side
    101,752.25x = 48,845,751,615.56
  5. Step 5: Solve for x
    x = 48,845,751,615.56/101,752.25
  6. Step 6: Final answer
    x = 480,045.91

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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.