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Finding the Third Proportional to 201,284,761.50 and 440,255,826

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Solution

The third proportional to 201,284,761.50 and 440,255,826 is: 962,940,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284,761.50 : 440,255,826 = 440,255,826 : x
  2. Step 2: Convert to fraction form
    201,284,761.50/440,255,826 = 440,255,826/x
  3. Step 3: Cross multiply
    201,284,761.50x = 440,255,826 × 440,255,826
  4. Step 4: Simplify right side
    201,284,761.50x = 193,825,192,326,942,272
  5. Step 5: Solve for x
    x = 193,825,192,326,942,272/201,284,761.50
  6. Step 6: Final answer
    x = 962,940,219.03

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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.