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Finding the Third Proportional to 49,073.34 and 108,089.44

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Solution

The third proportional to 49,073.34 and 108,089.44 is: 238,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,073.34 : 108,089.44 = 108,089.44 : x
  2. Step 2: Convert to fraction form
    49,073.34/108,089.44 = 108,089.44/x
  3. Step 3: Cross multiply
    49,073.34x = 108,089.44 × 108,089.44
  4. Step 4: Simplify right side
    49,073.34x = 11,683,326,499.07
  5. Step 5: Solve for x
    x = 11,683,326,499.07/49,073.34
  6. Step 6: Final answer
    x = 238,078.88

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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.