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Finding the Third Proportional to 111,888,569 and 235,372,936

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Solution

The third proportional to 111,888,569 and 235,372,936 is: 495,139,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,888,569 : 235,372,936 = 235,372,936 : x
  2. Step 2: Convert to fraction form
    111,888,569/235,372,936 = 235,372,936/x
  3. Step 3: Cross multiply
    111,888,569x = 235,372,936 × 235,372,936
  4. Step 4: Simplify right side
    111,888,569x = 55,400,419,001,260,096
  5. Step 5: Solve for x
    x = 55,400,419,001,260,096/111,888,569
  6. Step 6: Final answer
    x = 495,139,221.96

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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.