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Finding the Third Proportional to 102,204,186,321 and 222,405,263,676

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Solution

The third proportional to 102,204,186,321 and 222,405,263,676 is: 483,973,338,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204,186,321 : 222,405,263,676 = 222,405,263,676 : x
  2. Step 2: Convert to fraction form
    102,204,186,321/222,405,263,676 = 222,405,263,676/x
  3. Step 3: Cross multiply
    102,204,186,321x = 222,405,263,676 × 222,405,263,676
  4. Step 4: Simplify right side
    102,204,186,321x = 49,464,101,310,791,086,505,984
  5. Step 5: Solve for x
    x = 49,464,101,310,791,086,505,984/102,204,186,321
  6. Step 6: Final answer
    x = 483,973,338,972.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.