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Finding the Third Proportional to 421,089,183.14 and 938,999,965.92

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Solution

The third proportional to 421,089,183.14 and 938,999,965.92 is: 2,093,905,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,089,183.14 : 938,999,965.92 = 938,999,965.92 : x
  2. Step 2: Convert to fraction form
    421,089,183.14/938,999,965.92 = 938,999,965.92/x
  3. Step 3: Cross multiply
    421,089,183.14x = 938,999,965.92 × 938,999,965.92
  4. Step 4: Simplify right side
    421,089,183.14x = 881,720,936,001,329,408
  5. Step 5: Solve for x
    x = 881,720,936,001,329,408/421,089,183.14
  6. Step 6: Final answer
    x = 2,093,905,451.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.