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Finding the Third Proportional to 97,146 and 198,990

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Solution

The third proportional to 97,146 and 198,990 is: 407,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146 : 198,990 = 198,990 : x
  2. Step 2: Convert to fraction form
    97,146/198,990 = 198,990/x
  3. Step 3: Cross multiply
    97,146x = 198,990 × 198,990
  4. Step 4: Simplify right side
    97,146x = 39,597,020,100
  5. Step 5: Solve for x
    x = 39,597,020,100/97,146
  6. Step 6: Final answer
    x = 407,603.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.