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Finding the Third Proportional to 89,928 and 197,352

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Solution

The third proportional to 89,928 and 197,352 is: 433,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,928 : 197,352 = 197,352 : x
  2. Step 2: Convert to fraction form
    89,928/197,352 = 197,352/x
  3. Step 3: Cross multiply
    89,928x = 197,352 × 197,352
  4. Step 4: Simplify right side
    89,928x = 38,947,811,904
  5. Step 5: Solve for x
    x = 38,947,811,904/89,928
  6. Step 6: Final answer
    x = 433,099.95

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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.