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Finding the Third Proportional to 167,774,676.75 and 364,590,478.13

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Solution

The third proportional to 167,774,676.75 and 364,590,478.13 is: 792,290,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,774,676.75 : 364,590,478.13 = 364,590,478.13 : x
  2. Step 2: Convert to fraction form
    167,774,676.75/364,590,478.13 = 364,590,478.13/x
  3. Step 3: Cross multiply
    167,774,676.75x = 364,590,478.13 × 364,590,478.13
  4. Step 4: Simplify right side
    167,774,676.75x = 132,926,216,739,416,096
  5. Step 5: Solve for x
    x = 132,926,216,739,416,096/167,774,676.75
  6. Step 6: Final answer
    x = 792,290,107.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.