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Finding the Third Proportional to 98,183 and 212,050

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Solution

The third proportional to 98,183 and 212,050 is: 457,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,183 : 212,050 = 212,050 : x
  2. Step 2: Convert to fraction form
    98,183/212,050 = 212,050/x
  3. Step 3: Cross multiply
    98,183x = 212,050 × 212,050
  4. Step 4: Simplify right side
    98,183x = 44,965,202,500
  5. Step 5: Solve for x
    x = 44,965,202,500/98,183
  6. Step 6: Final answer
    x = 457,973.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.