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Finding the Third Proportional to 188,098,154 and 290,534,187

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Solution

The third proportional to 188,098,154 and 290,534,187 is: 448,755,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098,154 : 290,534,187 = 290,534,187 : x
  2. Step 2: Convert to fraction form
    188,098,154/290,534,187 = 290,534,187/x
  3. Step 3: Cross multiply
    188,098,154x = 290,534,187 × 290,534,187
  4. Step 4: Simplify right side
    188,098,154x = 84,410,113,815,750,976
  5. Step 5: Solve for x
    x = 84,410,113,815,750,976/188,098,154
  6. Step 6: Final answer
    x = 448,755,673.68

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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.