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Finding the Third Proportional to 90,020 and 196,990

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Solution

The third proportional to 90,020 and 196,990 is: 431,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,020 : 196,990 = 196,990 : x
  2. Step 2: Convert to fraction form
    90,020/196,990 = 196,990/x
  3. Step 3: Cross multiply
    90,020x = 196,990 × 196,990
  4. Step 4: Simplify right side
    90,020x = 38,805,060,100
  5. Step 5: Solve for x
    x = 38,805,060,100/90,020
  6. Step 6: Final answer
    x = 431,071.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.