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Finding the Third Proportional to 51,952,198.50 and 112,946,949

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Solution

The third proportional to 51,952,198.50 and 112,946,949 is: 245,552,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952,198.50 : 112,946,949 = 112,946,949 : x
  2. Step 2: Convert to fraction form
    51,952,198.50/112,946,949 = 112,946,949/x
  3. Step 3: Cross multiply
    51,952,198.50x = 112,946,949 × 112,946,949
  4. Step 4: Simplify right side
    51,952,198.50x = 12,757,013,288,408,600
  5. Step 5: Solve for x
    x = 12,757,013,288,408,600/51,952,198.50
  6. Step 6: Final answer
    x = 245,552,905.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.