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Finding the Third Proportional to 89,314,444.50 and 193,470,190.50

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Solution

The third proportional to 89,314,444.50 and 193,470,190.50 is: 419,089,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314,444.50 : 193,470,190.50 = 193,470,190.50 : x
  2. Step 2: Convert to fraction form
    89,314,444.50/193,470,190.50 = 193,470,190.50/x
  3. Step 3: Cross multiply
    89,314,444.50x = 193,470,190.50 × 193,470,190.50
  4. Step 4: Simplify right side
    89,314,444.50x = 37,430,714,612,106,288
  5. Step 5: Solve for x
    x = 37,430,714,612,106,288/89,314,444.50
  6. Step 6: Final answer
    x = 419,089,149.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.