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Finding the Third Proportional to 49,918.78 and 109,048.78

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Solution

The third proportional to 49,918.78 and 109,048.78 is: 238,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,918.78 : 109,048.78 = 109,048.78 : x
  2. Step 2: Convert to fraction form
    49,918.78/109,048.78 = 109,048.78/x
  3. Step 3: Cross multiply
    49,918.78x = 109,048.78 × 109,048.78
  4. Step 4: Simplify right side
    49,918.78x = 11,891,636,692.11
  5. Step 5: Solve for x
    x = 11,891,636,692.11/49,918.78
  6. Step 6: Final answer
    x = 238,219.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.