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Finding the Third Proportional to 47,348 and 97,064

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Solution

The third proportional to 47,348 and 97,064 is: 198,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,348 : 97,064 = 97,064 : x
  2. Step 2: Convert to fraction form
    47,348/97,064 = 97,064/x
  3. Step 3: Cross multiply
    47,348x = 97,064 × 97,064
  4. Step 4: Simplify right side
    47,348x = 9,421,420,096
  5. Step 5: Solve for x
    x = 9,421,420,096/47,348
  6. Step 6: Final answer
    x = 198,982.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.