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Finding the Third Proportional to 97,072 and 198,848

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Solution

The third proportional to 97,072 and 198,848 is: 407,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072 : 198,848 = 198,848 : x
  2. Step 2: Convert to fraction form
    97,072/198,848 = 198,848/x
  3. Step 3: Cross multiply
    97,072x = 198,848 × 198,848
  4. Step 4: Simplify right side
    97,072x = 39,540,527,104
  5. Step 5: Solve for x
    x = 39,540,527,104/97,072
  6. Step 6: Final answer
    x = 407,331.95

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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.