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Finding the Third Proportional to 49,721.63 and 107,384.63

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Solution

The third proportional to 49,721.63 and 107,384.63 is: 231,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,721.63 : 107,384.63 = 107,384.63 : x
  2. Step 2: Convert to fraction form
    49,721.63/107,384.63 = 107,384.63/x
  3. Step 3: Cross multiply
    49,721.63x = 107,384.63 × 107,384.63
  4. Step 4: Simplify right side
    49,721.63x = 11,531,457,686.39
  5. Step 5: Solve for x
    x = 11,531,457,686.39/49,721.63
  6. Step 6: Final answer
    x = 231,920.37

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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.