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Finding the Third Proportional to 106,995.94 and 225,929.25

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Solution

The third proportional to 106,995.94 and 225,929.25 is: 477,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,995.94 : 225,929.25 = 225,929.25 : x
  2. Step 2: Convert to fraction form
    106,995.94/225,929.25 = 225,929.25/x
  3. Step 3: Cross multiply
    106,995.94x = 225,929.25 × 225,929.25
  4. Step 4: Simplify right side
    106,995.94x = 51,044,026,005.56
  5. Step 5: Solve for x
    x = 51,044,026,005.56/106,995.94
  6. Step 6: Final answer
    x = 477,065.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.