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Finding the Third Proportional to 47,097 and 101,889

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Solution

The third proportional to 47,097 and 101,889 is: 220,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097 : 101,889 = 101,889 : x
  2. Step 2: Convert to fraction form
    47,097/101,889 = 101,889/x
  3. Step 3: Cross multiply
    47,097x = 101,889 × 101,889
  4. Step 4: Simplify right side
    47,097x = 10,381,368,321
  5. Step 5: Solve for x
    x = 10,381,368,321/47,097
  6. Step 6: Final answer
    x = 220,425.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.