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Finding the Third Proportional to 106,896.94 and 232,275.38

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Solution

The third proportional to 106,896.94 and 232,275.38 is: 504,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,896.94 : 232,275.38 = 232,275.38 : x
  2. Step 2: Convert to fraction form
    106,896.94/232,275.38 = 232,275.38/x
  3. Step 3: Cross multiply
    106,896.94x = 232,275.38 × 232,275.38
  4. Step 4: Simplify right side
    106,896.94x = 53,951,849,831.39
  5. Step 5: Solve for x
    x = 53,951,849,831.39/106,896.94
  6. Step 6: Final answer
    x = 504,709.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.