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Finding the Third Proportional to 52,206,321.23 and 114,451,895.11

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Solution

The third proportional to 52,206,321.23 and 114,451,895.11 is: 250,912,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,206,321.23 : 114,451,895.11 = 114,451,895.11 : x
  2. Step 2: Convert to fraction form
    52,206,321.23/114,451,895.11 = 114,451,895.11/x
  3. Step 3: Cross multiply
    52,206,321.23x = 114,451,895.11 × 114,451,895.11
  4. Step 4: Simplify right side
    52,206,321.23x = 13,099,236,294,128,524
  5. Step 5: Solve for x
    x = 13,099,236,294,128,524/52,206,321.23
  6. Step 6: Final answer
    x = 250,912,839.37

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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.