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Finding the Third Proportional to 111,888,511.50 and 235,372,821

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Solution

The third proportional to 111,888,511.50 and 235,372,821 is: 495,138,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,888,511.50 : 235,372,821 = 235,372,821 : x
  2. Step 2: Convert to fraction form
    111,888,511.50/235,372,821 = 235,372,821/x
  3. Step 3: Cross multiply
    111,888,511.50x = 235,372,821 × 235,372,821
  4. Step 4: Simplify right side
    111,888,511.50x = 55,400,364,865,498,040
  5. Step 5: Solve for x
    x = 55,400,364,865,498,040/111,888,511.50
  6. Step 6: Final answer
    x = 495,138,992.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.