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Finding the Third Proportional to 83,589,538 and 129,110,931

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Solution

The third proportional to 83,589,538 and 129,110,931 is: 199,422,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589,538 : 129,110,931 = 129,110,931 : x
  2. Step 2: Convert to fraction form
    83,589,538/129,110,931 = 129,110,931/x
  3. Step 3: Cross multiply
    83,589,538x = 129,110,931 × 129,110,931
  4. Step 4: Simplify right side
    83,589,538x = 16,669,632,503,686,760
  5. Step 5: Solve for x
    x = 16,669,632,503,686,760/83,589,538
  6. Step 6: Final answer
    x = 199,422,474.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.