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Finding the Third Proportional to 101,100 and 210,462

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Solution

The third proportional to 101,100 and 210,462 is: 438,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,100 : 210,462 = 210,462 : x
  2. Step 2: Convert to fraction form
    101,100/210,462 = 210,462/x
  3. Step 3: Cross multiply
    101,100x = 210,462 × 210,462
  4. Step 4: Simplify right side
    101,100x = 44,294,253,444
  5. Step 5: Solve for x
    x = 44,294,253,444/101,100
  6. Step 6: Final answer
    x = 438,123.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.