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Finding the Third Proportional to 106,648.79 and 229,555.06

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Solution

The third proportional to 106,648.79 and 229,555.06 is: 494,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,648.79 : 229,555.06 = 229,555.06 : x
  2. Step 2: Convert to fraction form
    106,648.79/229,555.06 = 229,555.06/x
  3. Step 3: Cross multiply
    106,648.79x = 229,555.06 × 229,555.06
  4. Step 4: Simplify right side
    106,648.79x = 52,695,525,496.93
  5. Step 5: Solve for x
    x = 52,695,525,496.93/106,648.79
  6. Step 6: Final answer
    x = 494,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.