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Finding the Third Proportional to 86,231,724 and 129,315,913

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Solution

The third proportional to 86,231,724 and 129,315,913 is: 193,926,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,231,724 : 129,315,913 = 129,315,913 : x
  2. Step 2: Convert to fraction form
    86,231,724/129,315,913 = 129,315,913/x
  3. Step 3: Cross multiply
    86,231,724x = 129,315,913 × 129,315,913
  4. Step 4: Simplify right side
    86,231,724x = 16,722,605,355,023,568
  5. Step 5: Solve for x
    x = 16,722,605,355,023,568/86,231,724
  6. Step 6: Final answer
    x = 193,926,371.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.