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Finding the Third Proportional to 182,413,550.50 and 401,309,452.75

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Solution

The third proportional to 182,413,550.50 and 401,309,452.75 is: 882,880,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,413,550.50 : 401,309,452.75 = 401,309,452.75 : x
  2. Step 2: Convert to fraction form
    182,413,550.50/401,309,452.75 = 401,309,452.75/x
  3. Step 3: Cross multiply
    182,413,550.50x = 401,309,452.75 × 401,309,452.75
  4. Step 4: Simplify right side
    182,413,550.50x = 161,049,276,866,504,480
  5. Step 5: Solve for x
    x = 161,049,276,866,504,480/182,413,550.50
  6. Step 6: Final answer
    x = 882,880,007.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.