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Finding the Third Proportional to 87,226,137 and 190,295,991

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Solution

The third proportional to 87,226,137 and 190,295,991 is: 415,157,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,226,137 : 190,295,991 = 190,295,991 : x
  2. Step 2: Convert to fraction form
    87,226,137/190,295,991 = 190,295,991/x
  3. Step 3: Cross multiply
    87,226,137x = 190,295,991 × 190,295,991
  4. Step 4: Simplify right side
    87,226,137x = 36,212,564,190,672,080
  5. Step 5: Solve for x
    x = 36,212,564,190,672,080/87,226,137
  6. Step 6: Final answer
    x = 415,157,261.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.