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Finding the Third Proportional to 47,318 and 103,852

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Solution

The third proportional to 47,318 and 103,852 is: 227,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,318 : 103,852 = 103,852 : x
  2. Step 2: Convert to fraction form
    47,318/103,852 = 103,852/x
  3. Step 3: Cross multiply
    47,318x = 103,852 × 103,852
  4. Step 4: Simplify right side
    47,318x = 10,785,237,904
  5. Step 5: Solve for x
    x = 10,785,237,904/47,318
  6. Step 6: Final answer
    x = 227,930.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.