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Finding the Third Proportional to 92,360 and 197,008

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Solution

The third proportional to 92,360 and 197,008 is: 420,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,360 : 197,008 = 197,008 : x
  2. Step 2: Convert to fraction form
    92,360/197,008 = 197,008/x
  3. Step 3: Cross multiply
    92,360x = 197,008 × 197,008
  4. Step 4: Simplify right side
    92,360x = 38,812,152,064
  5. Step 5: Solve for x
    x = 38,812,152,064/92,360
  6. Step 6: Final answer
    x = 420,226.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.