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Finding the Third Proportional to 100,366.31 and 146,780.44

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Solution

The third proportional to 100,366.31 and 146,780.44 is: 214,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.31 : 146,780.44 = 146,780.44 : x
  2. Step 2: Convert to fraction form
    100,366.31/146,780.44 = 146,780.44/x
  3. Step 3: Cross multiply
    100,366.31x = 146,780.44 × 146,780.44
  4. Step 4: Simplify right side
    100,366.31x = 21,544,496,832.69
  5. Step 5: Solve for x
    x = 21,544,496,832.69/100,366.31
  6. Step 6: Final answer
    x = 214,658.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.