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Finding the Third Proportional to 339,592,990 and 538,596,142

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Solution

The third proportional to 339,592,990 and 538,596,142 is: 854,216,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,592,990 : 538,596,142 = 538,596,142 : x
  2. Step 2: Convert to fraction form
    339,592,990/538,596,142 = 538,596,142/x
  3. Step 3: Cross multiply
    339,592,990x = 538,596,142 × 538,596,142
  4. Step 4: Simplify right side
    339,592,990x = 290,085,804,177,284,160
  5. Step 5: Solve for x
    x = 290,085,804,177,284,160/339,592,990
  6. Step 6: Final answer
    x = 854,216,113.76

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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.