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Finding the Third Proportional to 99,777 and 213,390

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Solution

The third proportional to 99,777 and 213,390 is: 456,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777 : 213,390 = 213,390 : x
  2. Step 2: Convert to fraction form
    99,777/213,390 = 213,390/x
  3. Step 3: Cross multiply
    99,777x = 213,390 × 213,390
  4. Step 4: Simplify right side
    99,777x = 45,535,292,100
  5. Step 5: Solve for x
    x = 45,535,292,100/99,777
  6. Step 6: Final answer
    x = 456,370.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.