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Finding the Third Proportional to 230,076,990 and 323,618,652

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Solution

The third proportional to 230,076,990 and 323,618,652 is: 455,191,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,076,990 : 323,618,652 = 323,618,652 : x
  2. Step 2: Convert to fraction form
    230,076,990/323,618,652 = 323,618,652/x
  3. Step 3: Cross multiply
    230,076,990x = 323,618,652 × 323,618,652
  4. Step 4: Simplify right side
    230,076,990x = 104,729,031,922,297,104
  5. Step 5: Solve for x
    x = 104,729,031,922,297,104/230,076,990
  6. Step 6: Final answer
    x = 455,191,246.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.