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Finding the Third Proportional to 39,089,646 and 84,986,329.50

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Solution

The third proportional to 39,089,646 and 84,986,329.50 is: 184,772,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,089,646 : 84,986,329.50 = 84,986,329.50 : x
  2. Step 2: Convert to fraction form
    39,089,646/84,986,329.50 = 84,986,329.50/x
  3. Step 3: Cross multiply
    39,089,646x = 84,986,329.50 × 84,986,329.50
  4. Step 4: Simplify right side
    39,089,646x = 7,222,676,201,882,570
  5. Step 5: Solve for x
    x = 7,222,676,201,882,570/39,089,646
  6. Step 6: Final answer
    x = 184,772,105.68

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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.