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Finding the Third Proportional to 111,375,852 and 239,203,776

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Solution

The third proportional to 111,375,852 and 239,203,776 is: 513,741,941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,375,852 : 239,203,776 = 239,203,776 : x
  2. Step 2: Convert to fraction form
    111,375,852/239,203,776 = 239,203,776/x
  3. Step 3: Cross multiply
    111,375,852x = 239,203,776 × 239,203,776
  4. Step 4: Simplify right side
    111,375,852x = 57,218,446,452,658,176
  5. Step 5: Solve for x
    x = 57,218,446,452,658,176/111,375,852
  6. Step 6: Final answer
    x = 513,741,941.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.