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Finding the Third Proportional to 200,012,424.75 and 300,551,136.75

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Solution

The third proportional to 200,012,424.75 and 300,551,136.75 is: 451,626,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,424.75 : 300,551,136.75 = 300,551,136.75 : x
  2. Step 2: Convert to fraction form
    200,012,424.75/300,551,136.75 = 300,551,136.75/x
  3. Step 3: Cross multiply
    200,012,424.75x = 300,551,136.75 × 300,551,136.75
  4. Step 4: Simplify right side
    200,012,424.75x = 90,330,985,801,717,200
  5. Step 5: Solve for x
    x = 90,330,985,801,717,200/200,012,424.75
  6. Step 6: Final answer
    x = 451,626,872.25

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Why These Related Problems?

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