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Finding the Third Proportional to 188,098,149 and 290,534,179.50

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Solution

The third proportional to 188,098,149 and 290,534,179.50 is: 448,755,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098,149 : 290,534,179.50 = 290,534,179.50 : x
  2. Step 2: Convert to fraction form
    188,098,149/290,534,179.50 = 290,534,179.50/x
  3. Step 3: Cross multiply
    188,098,149x = 290,534,179.50 × 290,534,179.50
  4. Step 4: Simplify right side
    188,098,149x = 84,410,109,457,738,224
  5. Step 5: Solve for x
    x = 84,410,109,457,738,224/188,098,149
  6. Step 6: Final answer
    x = 448,755,662.44

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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.