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Finding the Third Proportional to 188,098,296.75 and 290,534,468.63

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Solution

The third proportional to 188,098,296.75 and 290,534,468.63 is: 448,756,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098,296.75 : 290,534,468.63 = 290,534,468.63 : x
  2. Step 2: Convert to fraction form
    188,098,296.75/290,534,468.63 = 290,534,468.63/x
  3. Step 3: Cross multiply
    188,098,296.75x = 290,534,468.63 × 290,534,468.63
  4. Step 4: Simplify right side
    188,098,296.75x = 84,410,277,459,211,104
  5. Step 5: Solve for x
    x = 84,410,277,459,211,104/188,098,296.75
  6. Step 6: Final answer
    x = 448,756,203.10

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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.