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Finding the Third Proportional to 205,395,831 and 318,153,232

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Solution

The third proportional to 205,395,831 and 318,153,232 is: 492,811,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,395,831 : 318,153,232 = 318,153,232 : x
  2. Step 2: Convert to fraction form
    205,395,831/318,153,232 = 318,153,232/x
  3. Step 3: Cross multiply
    205,395,831x = 318,153,232 × 318,153,232
  4. Step 4: Simplify right side
    205,395,831x = 101,221,479,032,045,824
  5. Step 5: Solve for x
    x = 101,221,479,032,045,824/205,395,831
  6. Step 6: Final answer
    x = 492,811,750.56

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Why These Related Problems?

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