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Finding the Third Proportional to 47,334 and 100,984

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Solution

The third proportional to 47,334 and 100,984 is: 215,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,334 : 100,984 = 100,984 : x
  2. Step 2: Convert to fraction form
    47,334/100,984 = 100,984/x
  3. Step 3: Cross multiply
    47,334x = 100,984 × 100,984
  4. Step 4: Simplify right side
    47,334x = 10,197,768,256
  5. Step 5: Solve for x
    x = 10,197,768,256/47,334
  6. Step 6: Final answer
    x = 215,442.77

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