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Finding the Third Proportional to 106,664,456,375 and 154,111,719,779

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Solution

The third proportional to 106,664,456,375 and 154,111,719,779 is: 222,664,821,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,664,456,375 : 154,111,719,779 = 154,111,719,779 : x
  2. Step 2: Convert to fraction form
    106,664,456,375/154,111,719,779 = 154,111,719,779/x
  3. Step 3: Cross multiply
    106,664,456,375x = 154,111,719,779 × 154,111,719,779
  4. Step 4: Simplify right side
    106,664,456,375x = 23,750,422,173,241,019,727,872
  5. Step 5: Solve for x
    x = 23,750,422,173,241,019,727,872/106,664,456,375
  6. Step 6: Final answer
    x = 222,664,821,819.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.