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Finding the Third Proportional to 91,886 and 197,850

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Solution

The third proportional to 91,886 and 197,850 is: 426,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,886 : 197,850 = 197,850 : x
  2. Step 2: Convert to fraction form
    91,886/197,850 = 197,850/x
  3. Step 3: Cross multiply
    91,886x = 197,850 × 197,850
  4. Step 4: Simplify right side
    91,886x = 39,144,622,500
  5. Step 5: Solve for x
    x = 39,144,622,500/91,886
  6. Step 6: Final answer
    x = 426,012.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.