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Finding the Third Proportional to 99,035 and 213,851

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Solution

The third proportional to 99,035 and 213,851 is: 461,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,035 : 213,851 = 213,851 : x
  2. Step 2: Convert to fraction form
    99,035/213,851 = 213,851/x
  3. Step 3: Cross multiply
    99,035x = 213,851 × 213,851
  4. Step 4: Simplify right side
    99,035x = 45,732,250,201
  5. Step 5: Solve for x
    x = 45,732,250,201/99,035
  6. Step 6: Final answer
    x = 461,778.67

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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.