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Finding the Third Proportional to 100,624,563 and 217,405,453

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Solution

The third proportional to 100,624,563 and 217,405,453 is: 469,717,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624,563 : 217,405,453 = 217,405,453 : x
  2. Step 2: Convert to fraction form
    100,624,563/217,405,453 = 217,405,453/x
  3. Step 3: Cross multiply
    100,624,563x = 217,405,453 × 217,405,453
  4. Step 4: Simplify right side
    100,624,563x = 47,265,130,994,135,208
  5. Step 5: Solve for x
    x = 47,265,130,994,135,208/100,624,563
  6. Step 6: Final answer
    x = 469,717,627.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.