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Finding the Third Proportional to 89,314,438 and 193,470,170

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Solution

The third proportional to 89,314,438 and 193,470,170 is: 419,089,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314,438 : 193,470,170 = 193,470,170 : x
  2. Step 2: Convert to fraction form
    89,314,438/193,470,170 = 193,470,170/x
  3. Step 3: Cross multiply
    89,314,438x = 193,470,170 × 193,470,170
  4. Step 4: Simplify right side
    89,314,438x = 37,430,706,679,828,896
  5. Step 5: Solve for x
    x = 37,430,706,679,828,896/89,314,438
  6. Step 6: Final answer
    x = 419,089,091.51

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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.