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Finding the Third Proportional to 49,798.69 and 107,894.81

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Solution

The third proportional to 49,798.69 and 107,894.81 is: 233,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798.69 : 107,894.81 = 107,894.81 : x
  2. Step 2: Convert to fraction form
    49,798.69/107,894.81 = 107,894.81/x
  3. Step 3: Cross multiply
    49,798.69x = 107,894.81 × 107,894.81
  4. Step 4: Simplify right side
    49,798.69x = 11,641,290,564.41
  5. Step 5: Solve for x
    x = 11,641,290,564.41/49,798.69
  6. Step 6: Final answer
    x = 233,767.02

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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.