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Finding the Third Proportional to 152,238,912 and 231,927,408

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Solution

The third proportional to 152,238,912 and 231,927,408 is: 353,328,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,238,912 : 231,927,408 = 231,927,408 : x
  2. Step 2: Convert to fraction form
    152,238,912/231,927,408 = 231,927,408/x
  3. Step 3: Cross multiply
    152,238,912x = 231,927,408 × 231,927,408
  4. Step 4: Simplify right side
    152,238,912x = 53,790,322,581,598,464
  5. Step 5: Solve for x
    x = 53,790,322,581,598,464/152,238,912
  6. Step 6: Final answer
    x = 353,328,343.42

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