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Finding the Third Proportional to 123,760,271.25 and 262,273,491

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Solution

The third proportional to 123,760,271.25 and 262,273,491 is: 555,811,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,760,271.25 : 262,273,491 = 262,273,491 : x
  2. Step 2: Convert to fraction form
    123,760,271.25/262,273,491 = 262,273,491/x
  3. Step 3: Cross multiply
    123,760,271.25x = 262,273,491 × 262,273,491
  4. Step 4: Simplify right side
    123,760,271.25x = 68,787,384,081,327,080
  5. Step 5: Solve for x
    x = 68,787,384,081,327,080/123,760,271.25
  6. Step 6: Final answer
    x = 555,811,516.79

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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.