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Finding the Third Proportional to 222,403,519.13 and 463,215,236.63

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Solution

The third proportional to 222,403,519.13 and 463,215,236.63 is: 964,770,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,403,519.13 : 463,215,236.63 = 463,215,236.63 : x
  2. Step 2: Convert to fraction form
    222,403,519.13/463,215,236.63 = 463,215,236.63/x
  3. Step 3: Cross multiply
    222,403,519.13x = 463,215,236.63 × 463,215,236.63
  4. Step 4: Simplify right side
    222,403,519.13x = 214,568,355,441,554,752
  5. Step 5: Solve for x
    x = 214,568,355,441,554,752/222,403,519.13
  6. Step 6: Final answer
    x = 964,770,504.92

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