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Finding the Third Proportional to 97,118 and 197,800

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Solution

The third proportional to 97,118 and 197,800 is: 402,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,118 : 197,800 = 197,800 : x
  2. Step 2: Convert to fraction form
    97,118/197,800 = 197,800/x
  3. Step 3: Cross multiply
    97,118x = 197,800 × 197,800
  4. Step 4: Simplify right side
    97,118x = 39,124,840,000
  5. Step 5: Solve for x
    x = 39,124,840,000/97,118
  6. Step 6: Final answer
    x = 402,858.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.