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Finding the Third Proportional to 69,210,267.75 and 150,302,940.75

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Solution

The third proportional to 69,210,267.75 and 150,302,940.75 is: 326,410,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210,267.75 : 150,302,940.75 = 150,302,940.75 : x
  2. Step 2: Convert to fraction form
    69,210,267.75/150,302,940.75 = 150,302,940.75/x
  3. Step 3: Cross multiply
    69,210,267.75x = 150,302,940.75 × 150,302,940.75
  4. Step 4: Simplify right side
    69,210,267.75x = 22,590,973,998,098,012
  5. Step 5: Solve for x
    x = 22,590,973,998,098,012/69,210,267.75
  6. Step 6: Final answer
    x = 326,410,729.69

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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.