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Finding the Third Proportional to 167,774,694.75 and 364,590,514.13

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Solution

The third proportional to 167,774,694.75 and 364,590,514.13 is: 792,290,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,774,694.75 : 364,590,514.13 = 364,590,514.13 : x
  2. Step 2: Convert to fraction form
    167,774,694.75/364,590,514.13 = 364,590,514.13/x
  3. Step 3: Cross multiply
    167,774,694.75x = 364,590,514.13 × 364,590,514.13
  4. Step 4: Simplify right side
    167,774,694.75x = 132,926,242,989,931,824
  5. Step 5: Solve for x
    x = 132,926,242,989,931,824/167,774,694.75
  6. Step 6: Final answer
    x = 792,290,179.33

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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.