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Finding the Third Proportional to 92,889 and 197,766

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Solution

The third proportional to 92,889 and 197,766 is: 421,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,889 : 197,766 = 197,766 : x
  2. Step 2: Convert to fraction form
    92,889/197,766 = 197,766/x
  3. Step 3: Cross multiply
    92,889x = 197,766 × 197,766
  4. Step 4: Simplify right side
    92,889x = 39,111,390,756
  5. Step 5: Solve for x
    x = 39,111,390,756/92,889
  6. Step 6: Final answer
    x = 421,055.14

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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.