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Finding the Third Proportional to 77,203,234 and 117,616,099

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Solution

The third proportional to 77,203,234 and 117,616,099 is: 179,183,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,203,234 : 117,616,099 = 117,616,099 : x
  2. Step 2: Convert to fraction form
    77,203,234/117,616,099 = 117,616,099/x
  3. Step 3: Cross multiply
    77,203,234x = 117,616,099 × 117,616,099
  4. Step 4: Simplify right side
    77,203,234x = 13,833,546,743,977,800
  5. Step 5: Solve for x
    x = 13,833,546,743,977,800/77,203,234
  6. Step 6: Final answer
    x = 179,183,513.79

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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.