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Finding the Third Proportional to 47,280 and 100,818

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Solution

The third proportional to 47,280 and 100,818 is: 214,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,280 : 100,818 = 100,818 : x
  2. Step 2: Convert to fraction form
    47,280/100,818 = 100,818/x
  3. Step 3: Cross multiply
    47,280x = 100,818 × 100,818
  4. Step 4: Simplify right side
    47,280x = 10,164,269,124
  5. Step 5: Solve for x
    x = 10,164,269,124/47,280
  6. Step 6: Final answer
    x = 214,980.31

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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.