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Finding the Third Proportional to 106,336.23 and 233,636.91

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Solution

The third proportional to 106,336.23 and 233,636.91 is: 513,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,336.23 : 233,636.91 = 233,636.91 : x
  2. Step 2: Convert to fraction form
    106,336.23/233,636.91 = 233,636.91/x
  3. Step 3: Cross multiply
    106,336.23x = 233,636.91 × 233,636.91
  4. Step 4: Simplify right side
    106,336.23x = 54,586,203,962.07
  5. Step 5: Solve for x
    x = 54,586,203,962.07/106,336.23
  6. Step 6: Final answer
    x = 513,335.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.