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Finding the Third Proportional to 167,949,059,939 and 370,131,487,171

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Solution

The third proportional to 167,949,059,939 and 370,131,487,171 is: 815,707,559,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949,059,939 : 370,131,487,171 = 370,131,487,171 : x
  2. Step 2: Convert to fraction form
    167,949,059,939/370,131,487,171 = 370,131,487,171/x
  3. Step 3: Cross multiply
    167,949,059,939x = 370,131,487,171 × 370,131,487,171
  4. Step 4: Simplify right side
    167,949,059,939x = 136,997,317,795,416,144,609,280
  5. Step 5: Solve for x
    x = 136,997,317,795,416,144,609,280/167,949,059,939
  6. Step 6: Final answer
    x = 815,707,559,453.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.