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Finding the Third Proportional to 109,540,608 and 231,304,362

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Solution

The third proportional to 109,540,608 and 231,304,362 is: 488,418,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540,608 : 231,304,362 = 231,304,362 : x
  2. Step 2: Convert to fraction form
    109,540,608/231,304,362 = 231,304,362/x
  3. Step 3: Cross multiply
    109,540,608x = 231,304,362 × 231,304,362
  4. Step 4: Simplify right side
    109,540,608x = 53,501,707,880,227,040
  5. Step 5: Solve for x
    x = 53,501,707,880,227,040/109,540,608
  6. Step 6: Final answer
    x = 488,418,942.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.