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Finding the Third Proportional to 106,026.75 and 226,761.75

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Solution

The third proportional to 106,026.75 and 226,761.75 is: 484,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,026.75 : 226,761.75 = 226,761.75 : x
  2. Step 2: Convert to fraction form
    106,026.75/226,761.75 = 226,761.75/x
  3. Step 3: Cross multiply
    106,026.75x = 226,761.75 × 226,761.75
  4. Step 4: Simplify right side
    106,026.75x = 51,420,891,263.06
  5. Step 5: Solve for x
    x = 51,420,891,263.06/106,026.75
  6. Step 6: Final answer
    x = 484,980.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.