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Finding the Third Proportional to 92,046 and 197,199

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Solution

The third proportional to 92,046 and 197,199 is: 422,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046 : 197,199 = 197,199 : x
  2. Step 2: Convert to fraction form
    92,046/197,199 = 197,199/x
  3. Step 3: Cross multiply
    92,046x = 197,199 × 197,199
  4. Step 4: Simplify right side
    92,046x = 38,887,445,601
  5. Step 5: Solve for x
    x = 38,887,445,601/92,046
  6. Step 6: Final answer
    x = 422,478.39

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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.