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Finding the Third Proportional to 49,108.50 and 107,212.88

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Solution

The third proportional to 49,108.50 and 107,212.88 is: 234,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,108.50 : 107,212.88 = 107,212.88 : x
  2. Step 2: Convert to fraction form
    49,108.50/107,212.88 = 107,212.88/x
  3. Step 3: Cross multiply
    49,108.50x = 107,212.88 × 107,212.88
  4. Step 4: Simplify right side
    49,108.50x = 11,494,600,565.77
  5. Step 5: Solve for x
    x = 11,494,600,565.77/49,108.50
  6. Step 6: Final answer
    x = 234,065.40

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Why These Related Problems?

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