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Finding the Third Proportional to 106,583.34 and 227,936.53

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Solution

The third proportional to 106,583.34 and 227,936.53 is: 487,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,583.34 : 227,936.53 = 227,936.53 : x
  2. Step 2: Convert to fraction form
    106,583.34/227,936.53 = 227,936.53/x
  3. Step 3: Cross multiply
    106,583.34x = 227,936.53 × 227,936.53
  4. Step 4: Simplify right side
    106,583.34x = 51,955,062,278.28
  5. Step 5: Solve for x
    x = 51,955,062,278.28/106,583.34
  6. Step 6: Final answer
    x = 487,459.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.