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Finding the Third Proportional to 182,678,422.50 and 283,297,074.75

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Solution

The third proportional to 182,678,422.50 and 283,297,074.75 is: 439,336,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,678,422.50 : 283,297,074.75 = 283,297,074.75 : x
  2. Step 2: Convert to fraction form
    182,678,422.50/283,297,074.75 = 283,297,074.75/x
  3. Step 3: Cross multiply
    182,678,422.50x = 283,297,074.75 × 283,297,074.75
  4. Step 4: Simplify right side
    182,678,422.50x = 80,257,232,561,907,088
  5. Step 5: Solve for x
    x = 80,257,232,561,907,088/182,678,422.50
  6. Step 6: Final answer
    x = 439,336,137.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.