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Finding the Third Proportional to 43,074,990 and 92,204,824.50

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Solution

The third proportional to 43,074,990 and 92,204,824.50 is: 197,370,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,074,990 : 92,204,824.50 = 92,204,824.50 : x
  2. Step 2: Convert to fraction form
    43,074,990/92,204,824.50 = 92,204,824.50/x
  3. Step 3: Cross multiply
    43,074,990x = 92,204,824.50 × 92,204,824.50
  4. Step 4: Simplify right side
    43,074,990x = 8,501,729,661,075,800
  5. Step 5: Solve for x
    x = 8,501,729,661,075,800/43,074,990
  6. Step 6: Final answer
    x = 197,370,438.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.