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Finding the Third Proportional to 123,760,272.75 and 262,273,494

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Solution

The third proportional to 123,760,272.75 and 262,273,494 is: 555,811,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,760,272.75 : 262,273,494 = 262,273,494 : x
  2. Step 2: Convert to fraction form
    123,760,272.75/262,273,494 = 262,273,494/x
  3. Step 3: Cross multiply
    123,760,272.75x = 262,273,494 × 262,273,494
  4. Step 4: Simplify right side
    123,760,272.75x = 68,787,385,654,968,032
  5. Step 5: Solve for x
    x = 68,787,385,654,968,032/123,760,272.75
  6. Step 6: Final answer
    x = 555,811,522.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.