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Finding the Third Proportional to 200,012,503.50 and 300,551,256

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Solution

The third proportional to 200,012,503.50 and 300,551,256 is: 451,627,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,503.50 : 300,551,256 = 300,551,256 : x
  2. Step 2: Convert to fraction form
    200,012,503.50/300,551,256 = 300,551,256/x
  3. Step 3: Cross multiply
    200,012,503.50x = 300,551,256 × 300,551,256
  4. Step 4: Simplify right side
    200,012,503.50x = 90,331,057,483,177,536
  5. Step 5: Solve for x
    x = 90,331,057,483,177,536/200,012,503.50
  6. Step 6: Final answer
    x = 451,627,052.82

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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.