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Finding the Third Proportional to 49,356.47 and 106,593.82

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Solution

The third proportional to 49,356.47 and 106,593.82 is: 230,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356.47 : 106,593.82 = 106,593.82 : x
  2. Step 2: Convert to fraction form
    49,356.47/106,593.82 = 106,593.82/x
  3. Step 3: Cross multiply
    49,356.47x = 106,593.82 × 106,593.82
  4. Step 4: Simplify right side
    49,356.47x = 11,362,243,465.68
  5. Step 5: Solve for x
    x = 11,362,243,465.68/49,356.47
  6. Step 6: Final answer
    x = 230,207.79

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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.