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Finding the Third Proportional to 216,526,771.50 and 505,246,584.75

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Solution

The third proportional to 216,526,771.50 and 505,246,584.75 is: 1,178,949,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,526,771.50 : 505,246,584.75 = 505,246,584.75 : x
  2. Step 2: Convert to fraction form
    216,526,771.50/505,246,584.75 = 505,246,584.75/x
  3. Step 3: Cross multiply
    216,526,771.50x = 505,246,584.75 × 505,246,584.75
  4. Step 4: Simplify right side
    216,526,771.50x = 255,274,111,401,538,944
  5. Step 5: Solve for x
    x = 255,274,111,401,538,944/216,526,771.50
  6. Step 6: Final answer
    x = 1,178,949,418.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.