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Finding the Third Proportional to 47,308 and 103,016

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Solution

The third proportional to 47,308 and 103,016 is: 224,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308 : 103,016 = 103,016 : x
  2. Step 2: Convert to fraction form
    47,308/103,016 = 103,016/x
  3. Step 3: Cross multiply
    47,308x = 103,016 × 103,016
  4. Step 4: Simplify right side
    47,308x = 10,612,296,256
  5. Step 5: Solve for x
    x = 10,612,296,256/47,308
  6. Step 6: Final answer
    x = 224,323.50

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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.