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Finding the Third Proportional to 86,816,367 and 191,120,532.75

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Solution

The third proportional to 86,816,367 and 191,120,532.75 is: 420,739,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,816,367 : 191,120,532.75 = 191,120,532.75 : x
  2. Step 2: Convert to fraction form
    86,816,367/191,120,532.75 = 191,120,532.75/x
  3. Step 3: Cross multiply
    86,816,367x = 191,120,532.75 × 191,120,532.75
  4. Step 4: Simplify right side
    86,816,367x = 36,527,058,038,643,824
  5. Step 5: Solve for x
    x = 36,527,058,038,643,824/86,816,367
  6. Step 6: Final answer
    x = 420,739,306.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.