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Finding the Third Proportional to 154,017,678 and 363,213,227.25

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Solution

The third proportional to 154,017,678 and 363,213,227.25 is: 856,550,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,017,678 : 363,213,227.25 = 363,213,227.25 : x
  2. Step 2: Convert to fraction form
    154,017,678/363,213,227.25 = 363,213,227.25/x
  3. Step 3: Cross multiply
    154,017,678x = 363,213,227.25 × 363,213,227.25
  4. Step 4: Simplify right side
    154,017,678x = 131,923,848,449,360,144
  5. Step 5: Solve for x
    x = 131,923,848,449,360,144/154,017,678
  6. Step 6: Final answer
    x = 856,550,041.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.