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Finding the Third Proportional to 98,808 and 192,648

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Solution

The third proportional to 98,808 and 192,648 is: 375,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,808 : 192,648 = 192,648 : x
  2. Step 2: Convert to fraction form
    98,808/192,648 = 192,648/x
  3. Step 3: Cross multiply
    98,808x = 192,648 × 192,648
  4. Step 4: Simplify right side
    98,808x = 37,113,251,904
  5. Step 5: Solve for x
    x = 37,113,251,904/98,808
  6. Step 6: Final answer
    x = 375,609.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.