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Finding the Third Proportional to 92,036 and 197,356

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Solution

The third proportional to 92,036 and 197,356 is: 423,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,036 : 197,356 = 197,356 : x
  2. Step 2: Convert to fraction form
    92,036/197,356 = 197,356/x
  3. Step 3: Cross multiply
    92,036x = 197,356 × 197,356
  4. Step 4: Simplify right side
    92,036x = 38,949,390,736
  5. Step 5: Solve for x
    x = 38,949,390,736/92,036
  6. Step 6: Final answer
    x = 423,197.34

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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.