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Finding the Third Proportional to 49,918.08 and 108,582.47

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Solution

The third proportional to 49,918.08 and 108,582.47 is: 236,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,918.08 : 108,582.47 = 108,582.47 : x
  2. Step 2: Convert to fraction form
    49,918.08/108,582.47 = 108,582.47/x
  3. Step 3: Cross multiply
    49,918.08x = 108,582.47 × 108,582.47
  4. Step 4: Simplify right side
    49,918.08x = 11,790,152,519.84
  5. Step 5: Solve for x
    x = 11,790,152,519.84/49,918.08
  6. Step 6: Final answer
    x = 236,190.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.