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Finding the Third Proportional to 110,110 and 153,211

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Solution

The third proportional to 110,110 and 153,211 is: 213,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,110 : 153,211 = 153,211 : x
  2. Step 2: Convert to fraction form
    110,110/153,211 = 153,211/x
  3. Step 3: Cross multiply
    110,110x = 153,211 × 153,211
  4. Step 4: Simplify right side
    110,110x = 23,473,610,521
  5. Step 5: Solve for x
    x = 23,473,610,521/110,110
  6. Step 6: Final answer
    x = 213,183.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.