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Finding the Third Proportional to 49,900.43 and 107,715.23

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Solution

The third proportional to 49,900.43 and 107,715.23 is: 232,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900.43 : 107,715.23 = 107,715.23 : x
  2. Step 2: Convert to fraction form
    49,900.43/107,715.23 = 107,715.23/x
  3. Step 3: Cross multiply
    49,900.43x = 107,715.23 × 107,715.23
  4. Step 4: Simplify right side
    49,900.43x = 11,602,571,716.46
  5. Step 5: Solve for x
    x = 11,602,571,716.46/49,900.43
  6. Step 6: Final answer
    x = 232,514.47

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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.