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Finding the Third Proportional to 200,012,458.50 and 300,551,226.75

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Solution

The third proportional to 200,012,458.50 and 300,551,226.75 is: 451,627,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,458.50 : 300,551,226.75 = 300,551,226.75 : x
  2. Step 2: Convert to fraction form
    200,012,458.50/300,551,226.75 = 300,551,226.75/x
  3. Step 3: Cross multiply
    200,012,458.50x = 300,551,226.75 × 300,551,226.75
  4. Step 4: Simplify right side
    200,012,458.50x = 90,331,039,900,929,920
  5. Step 5: Solve for x
    x = 90,331,039,900,929,920/200,012,458.50
  6. Step 6: Final answer
    x = 451,627,066.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.