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Finding the Third Proportional to 230,111,467 and 494,375,118

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Solution

The third proportional to 230,111,467 and 494,375,118 is: 1,062,123,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,111,467 : 494,375,118 = 494,375,118 : x
  2. Step 2: Convert to fraction form
    230,111,467/494,375,118 = 494,375,118/x
  3. Step 3: Cross multiply
    230,111,467x = 494,375,118 × 494,375,118
  4. Step 4: Simplify right side
    230,111,467x = 244,406,757,297,513,920
  5. Step 5: Solve for x
    x = 244,406,757,297,513,920/230,111,467
  6. Step 6: Final answer
    x = 1,062,123,328.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.