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Finding the Third Proportional to 98,037 and 212,112

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Solution

The third proportional to 98,037 and 212,112 is: 458,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,037 : 212,112 = 212,112 : x
  2. Step 2: Convert to fraction form
    98,037/212,112 = 212,112/x
  3. Step 3: Cross multiply
    98,037x = 212,112 × 212,112
  4. Step 4: Simplify right side
    98,037x = 44,991,500,544
  5. Step 5: Solve for x
    x = 44,991,500,544/98,037
  6. Step 6: Final answer
    x = 458,923.68

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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.