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Finding the Third Proportional to 92,931 and 197,850

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Solution

The third proportional to 92,931 and 197,850 is: 421,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,931 : 197,850 = 197,850 : x
  2. Step 2: Convert to fraction form
    92,931/197,850 = 197,850/x
  3. Step 3: Cross multiply
    92,931x = 197,850 × 197,850
  4. Step 4: Simplify right side
    92,931x = 39,144,622,500
  5. Step 5: Solve for x
    x = 39,144,622,500/92,931
  6. Step 6: Final answer
    x = 421,222.44

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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.