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Finding the Third Proportional to 97,884 and 187,990

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Solution

The third proportional to 97,884 and 187,990 is: 361,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884 : 187,990 = 187,990 : x
  2. Step 2: Convert to fraction form
    97,884/187,990 = 187,990/x
  3. Step 3: Cross multiply
    97,884x = 187,990 × 187,990
  4. Step 4: Simplify right side
    97,884x = 35,340,240,100
  5. Step 5: Solve for x
    x = 35,340,240,100/97,884
  6. Step 6: Final answer
    x = 361,042.05

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.