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Finding the Third Proportional to 171,335,678 and 261,018,849

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Solution

The third proportional to 171,335,678 and 261,018,849 is: 397,645,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,335,678 : 261,018,849 = 261,018,849 : x
  2. Step 2: Convert to fraction form
    171,335,678/261,018,849 = 261,018,849/x
  3. Step 3: Cross multiply
    171,335,678x = 261,018,849 × 261,018,849
  4. Step 4: Simplify right side
    171,335,678x = 68,130,839,533,284,800
  5. Step 5: Solve for x
    x = 68,130,839,533,284,800/171,335,678
  6. Step 6: Final answer
    x = 397,645,372.69

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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.