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Finding the Third Proportional to 49,728 and 107,398.50

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Solution

The third proportional to 49,728 and 107,398.50 is: 231,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,728 : 107,398.50 = 107,398.50 : x
  2. Step 2: Convert to fraction form
    49,728/107,398.50 = 107,398.50/x
  3. Step 3: Cross multiply
    49,728x = 107,398.50 × 107,398.50
  4. Step 4: Simplify right side
    49,728x = 11,534,437,802.25
  5. Step 5: Solve for x
    x = 11,534,437,802.25/49,728
  6. Step 6: Final answer
    x = 231,950.57

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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.