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Finding the Third Proportional to 106,037.63 and 227,253.75

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Solution

The third proportional to 106,037.63 and 227,253.75 is: 487,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,037.63 : 227,253.75 = 227,253.75 : x
  2. Step 2: Convert to fraction form
    106,037.63/227,253.75 = 227,253.75/x
  3. Step 3: Cross multiply
    106,037.63x = 227,253.75 × 227,253.75
  4. Step 4: Simplify right side
    106,037.63x = 51,644,266,889.06
  5. Step 5: Solve for x
    x = 51,644,266,889.06/106,037.63
  6. Step 6: Final answer
    x = 487,037.19

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