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Finding the Third Proportional to 47,280.50 and 100,819

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Solution

The third proportional to 47,280.50 and 100,819 is: 214,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,280.50 : 100,819 = 100,819 : x
  2. Step 2: Convert to fraction form
    47,280.50/100,819 = 100,819/x
  3. Step 3: Cross multiply
    47,280.50x = 100,819 × 100,819
  4. Step 4: Simplify right side
    47,280.50x = 10,164,470,761
  5. Step 5: Solve for x
    x = 10,164,470,761/47,280.50
  6. Step 6: Final answer
    x = 214,982.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.