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Finding the Third Proportional to 166,388,961 and 259,656,315

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Solution

The third proportional to 166,388,961 and 259,656,315 is: 405,203,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,388,961 : 259,656,315 = 259,656,315 : x
  2. Step 2: Convert to fraction form
    166,388,961/259,656,315 = 259,656,315/x
  3. Step 3: Cross multiply
    166,388,961x = 259,656,315 × 259,656,315
  4. Step 4: Simplify right side
    166,388,961x = 67,421,401,919,379,224
  5. Step 5: Solve for x
    x = 67,421,401,919,379,224/166,388,961
  6. Step 6: Final answer
    x = 405,203,575.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.