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Finding the Third Proportional to 181,461,321 and 275,557,779

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Solution

The third proportional to 181,461,321 and 275,557,779 is: 418,447,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,461,321 : 275,557,779 = 275,557,779 : x
  2. Step 2: Convert to fraction form
    181,461,321/275,557,779 = 275,557,779/x
  3. Step 3: Cross multiply
    181,461,321x = 275,557,779 × 275,557,779
  4. Step 4: Simplify right side
    181,461,321x = 75,932,089,567,412,848
  5. Step 5: Solve for x
    x = 75,932,089,567,412,848/181,461,321
  6. Step 6: Final answer
    x = 418,447,794.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.