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Finding the Third Proportional to 339,592,992 and 538,596,145

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Solution

The third proportional to 339,592,992 and 538,596,145 is: 854,216,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,592,992 : 538,596,145 = 538,596,145 : x
  2. Step 2: Convert to fraction form
    339,592,992/538,596,145 = 538,596,145/x
  3. Step 3: Cross multiply
    339,592,992x = 538,596,145 × 538,596,145
  4. Step 4: Simplify right side
    339,592,992x = 290,085,807,408,861,056
  5. Step 5: Solve for x
    x = 290,085,807,408,861,056/339,592,992
  6. Step 6: Final answer
    x = 854,216,118.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.