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Finding the Third Proportional to 222,403,503.75 and 463,215,213.75

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Solution

The third proportional to 222,403,503.75 and 463,215,213.75 is: 964,770,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,403,503.75 : 463,215,213.75 = 463,215,213.75 : x
  2. Step 2: Convert to fraction form
    222,403,503.75/463,215,213.75 = 463,215,213.75/x
  3. Step 3: Cross multiply
    222,403,503.75x = 463,215,213.75 × 463,215,213.75
  4. Step 4: Simplify right side
    222,403,503.75x = 214,568,334,249,458,176
  5. Step 5: Solve for x
    x = 214,568,334,249,458,176/222,403,503.75
  6. Step 6: Final answer
    x = 964,770,476.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.