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Finding the Third Proportional to 110,823.38 and 229,529.63

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Solution

The third proportional to 110,823.38 and 229,529.63 is: 475,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,823.38 : 229,529.63 = 229,529.63 : x
  2. Step 2: Convert to fraction form
    110,823.38/229,529.63 = 229,529.63/x
  3. Step 3: Cross multiply
    110,823.38x = 229,529.63 × 229,529.63
  4. Step 4: Simplify right side
    110,823.38x = 52,683,848,752.64
  5. Step 5: Solve for x
    x = 52,683,848,752.64/110,823.38
  6. Step 6: Final answer
    x = 475,385.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.