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Finding the Third Proportional to 98,206 and 150,166

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Solution

The third proportional to 98,206 and 150,166 is: 229,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206 : 150,166 = 150,166 : x
  2. Step 2: Convert to fraction form
    98,206/150,166 = 150,166/x
  3. Step 3: Cross multiply
    98,206x = 150,166 × 150,166
  4. Step 4: Simplify right side
    98,206x = 22,549,827,556
  5. Step 5: Solve for x
    x = 22,549,827,556/98,206
  6. Step 6: Final answer
    x = 229,617.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.