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Finding the Third Proportional to 238,026,280 and 367,811,286

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Solution

The third proportional to 238,026,280 and 367,811,286 is: 568,362,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,026,280 : 367,811,286 = 367,811,286 : x
  2. Step 2: Convert to fraction form
    238,026,280/367,811,286 = 367,811,286/x
  3. Step 3: Cross multiply
    238,026,280x = 367,811,286 × 367,811,286
  4. Step 4: Simplify right side
    238,026,280x = 135,285,142,108,973,792
  5. Step 5: Solve for x
    x = 135,285,142,108,973,792/238,026,280
  6. Step 6: Final answer
    x = 568,362,208.19

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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.