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Finding the Third Proportional to 49,518.84 and 106,145.44

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Solution

The third proportional to 49,518.84 and 106,145.44 is: 227,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518.84 : 106,145.44 = 106,145.44 : x
  2. Step 2: Convert to fraction form
    49,518.84/106,145.44 = 106,145.44/x
  3. Step 3: Cross multiply
    49,518.84x = 106,145.44 × 106,145.44
  4. Step 4: Simplify right side
    49,518.84x = 11,266,853,902.07
  5. Step 5: Solve for x
    x = 11,266,853,902.07/49,518.84
  6. Step 6: Final answer
    x = 227,526.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.