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Finding the Third Proportional to 49,229,058 and 107,905,200

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Solution

The third proportional to 49,229,058 and 107,905,200 is: 236,517,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,229,058 : 107,905,200 = 107,905,200 : x
  2. Step 2: Convert to fraction form
    49,229,058/107,905,200 = 107,905,200/x
  3. Step 3: Cross multiply
    49,229,058x = 107,905,200 × 107,905,200
  4. Step 4: Simplify right side
    49,229,058x = 11,643,532,187,040,000
  5. Step 5: Solve for x
    x = 11,643,532,187,040,000/49,229,058
  6. Step 6: Final answer
    x = 236,517,468.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.