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Finding the Third Proportional to 49,890.94 and 107,778.09

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Solution

The third proportional to 49,890.94 and 107,778.09 is: 232,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,890.94 : 107,778.09 = 107,778.09 : x
  2. Step 2: Convert to fraction form
    49,890.94/107,778.09 = 107,778.09/x
  3. Step 3: Cross multiply
    49,890.94x = 107,778.09 × 107,778.09
  4. Step 4: Simplify right side
    49,890.94x = 11,616,117,492.38
  5. Step 5: Solve for x
    x = 11,616,117,492.38/49,890.94
  6. Step 6: Final answer
    x = 232,830.21

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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.