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Finding the Third Proportional to 186,294,257,355.38 and 405,229,196,379.38

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Solution

The third proportional to 186,294,257,355.38 and 405,229,196,379.38 is: 881,458,741,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,257,355.38 : 405,229,196,379.38 = 405,229,196,379.38 : x
  2. Step 2: Convert to fraction form
    186,294,257,355.38/405,229,196,379.38 = 405,229,196,379.38/x
  3. Step 3: Cross multiply
    186,294,257,355.38x = 405,229,196,379.38 × 405,229,196,379.38
  4. Step 4: Simplify right side
    186,294,257,355.38x = 164,210,701,598,278,138,462,208
  5. Step 5: Solve for x
    x = 164,210,701,598,278,138,462,208/186,294,257,355.38
  6. Step 6: Final answer
    x = 881,458,741,291.34

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Why These Related Problems?

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