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Finding the Third Proportional to 97,740 and 194,932

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Solution

The third proportional to 97,740 and 194,932 is: 388,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,740 : 194,932 = 194,932 : x
  2. Step 2: Convert to fraction form
    97,740/194,932 = 194,932/x
  3. Step 3: Cross multiply
    97,740x = 194,932 × 194,932
  4. Step 4: Simplify right side
    97,740x = 37,998,484,624
  5. Step 5: Solve for x
    x = 37,998,484,624/97,740
  6. Step 6: Final answer
    x = 388,771.07

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.