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Finding the Third Proportional to 49,647.94 and 109,317.09

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Solution

The third proportional to 49,647.94 and 109,317.09 is: 240,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,647.94 : 109,317.09 = 109,317.09 : x
  2. Step 2: Convert to fraction form
    49,647.94/109,317.09 = 109,317.09/x
  3. Step 3: Cross multiply
    49,647.94x = 109,317.09 × 109,317.09
  4. Step 4: Simplify right side
    49,647.94x = 11,950,226,985.95
  5. Step 5: Solve for x
    x = 11,950,226,985.95/49,647.94
  6. Step 6: Final answer
    x = 240,699.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.