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Finding the Third Proportional to 188,961,494.25 and 270,215,257.50

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Solution

The third proportional to 188,961,494.25 and 270,215,257.50 is: 386,408,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,961,494.25 : 270,215,257.50 = 270,215,257.50 : x
  2. Step 2: Convert to fraction form
    188,961,494.25/270,215,257.50 = 270,215,257.50/x
  3. Step 3: Cross multiply
    188,961,494.25x = 270,215,257.50 × 270,215,257.50
  4. Step 4: Simplify right side
    188,961,494.25x = 73,016,285,385,791,312
  5. Step 5: Solve for x
    x = 73,016,285,385,791,312/188,961,494.25
  6. Step 6: Final answer
    x = 386,408,276.86

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.