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Finding the Third Proportional to 106,967.25 and 229,115.25

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Solution

The third proportional to 106,967.25 and 229,115.25 is: 490,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,967.25 : 229,115.25 = 229,115.25 : x
  2. Step 2: Convert to fraction form
    106,967.25/229,115.25 = 229,115.25/x
  3. Step 3: Cross multiply
    106,967.25x = 229,115.25 × 229,115.25
  4. Step 4: Simplify right side
    106,967.25x = 52,493,797,782.56
  5. Step 5: Solve for x
    x = 52,493,797,782.56/106,967.25
  6. Step 6: Final answer
    x = 490,746.45

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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.