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Finding the Third Proportional to 49,744.76 and 107,369.93

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Solution

The third proportional to 49,744.76 and 107,369.93 is: 231,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744.76 : 107,369.93 = 107,369.93 : x
  2. Step 2: Convert to fraction form
    49,744.76/107,369.93 = 107,369.93/x
  3. Step 3: Cross multiply
    49,744.76x = 107,369.93 × 107,369.93
  4. Step 4: Simplify right side
    49,744.76x = 11,528,301,801.10
  5. Step 5: Solve for x
    x = 11,528,301,801.10/49,744.76
  6. Step 6: Final answer
    x = 231,749.08

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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.