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Finding the Third Proportional to 186,294,257,357.62 and 405,229,196,383.88

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Solution

The third proportional to 186,294,257,357.62 and 405,229,196,383.88 is: 881,458,741,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,257,357.62 : 405,229,196,383.88 = 405,229,196,383.88 : x
  2. Step 2: Convert to fraction form
    186,294,257,357.62/405,229,196,383.88 = 405,229,196,383.88/x
  3. Step 3: Cross multiply
    186,294,257,357.62x = 405,229,196,383.88 × 405,229,196,383.88
  4. Step 4: Simplify right side
    186,294,257,357.62x = 164,210,701,601,925,203,230,720
  5. Step 5: Solve for x
    x = 164,210,701,601,925,203,230,720/186,294,257,357.62
  6. Step 6: Final answer
    x = 881,458,741,300.32

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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.