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Finding the Third Proportional to 92,037 and 197,196

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Solution

The third proportional to 92,037 and 197,196 is: 422,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,037 : 197,196 = 197,196 : x
  2. Step 2: Convert to fraction form
    92,037/197,196 = 197,196/x
  3. Step 3: Cross multiply
    92,037x = 197,196 × 197,196
  4. Step 4: Simplify right side
    92,037x = 38,886,262,416
  5. Step 5: Solve for x
    x = 38,886,262,416/92,037
  6. Step 6: Final answer
    x = 422,506.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.