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Finding the Third Proportional to 188,098,296 and 290,534,468

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Solution

The third proportional to 188,098,296 and 290,534,468 is: 448,756,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098,296 : 290,534,468 = 290,534,468 : x
  2. Step 2: Convert to fraction form
    188,098,296/290,534,468 = 290,534,468/x
  3. Step 3: Cross multiply
    188,098,296x = 290,534,468 × 290,534,468
  4. Step 4: Simplify right side
    188,098,296x = 84,410,277,096,043,024
  5. Step 5: Solve for x
    x = 84,410,277,096,043,024/188,098,296
  6. Step 6: Final answer
    x = 448,756,202.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.