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Finding the Third Proportional to 106,509.09 and 229,624.88

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Solution

The third proportional to 106,509.09 and 229,624.88 is: 495,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.09 : 229,624.88 = 229,624.88 : x
  2. Step 2: Convert to fraction form
    106,509.09/229,624.88 = 229,624.88/x
  3. Step 3: Cross multiply
    106,509.09x = 229,624.88 × 229,624.88
  4. Step 4: Simplify right side
    106,509.09x = 52,727,583,218.77
  5. Step 5: Solve for x
    x = 52,727,583,218.77/106,509.09
  6. Step 6: Final answer
    x = 495,052.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.