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Finding the Third Proportional to 201,284,757 and 440,255,817

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Solution

The third proportional to 201,284,757 and 440,255,817 is: 962,940,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284,757 : 440,255,817 = 440,255,817 : x
  2. Step 2: Convert to fraction form
    201,284,757/440,255,817 = 440,255,817/x
  3. Step 3: Cross multiply
    201,284,757x = 440,255,817 × 440,255,817
  4. Step 4: Simplify right side
    201,284,757x = 193,825,184,402,337,504
  5. Step 5: Solve for x
    x = 193,825,184,402,337,504/201,284,757
  6. Step 6: Final answer
    x = 962,940,201.19

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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.