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Finding the Third Proportional to 168,441,422,192 and 374,543,942,240

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Solution

The third proportional to 168,441,422,192 and 374,543,942,240 is: 832,830,564,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,441,422,192 : 374,543,942,240 = 374,543,942,240 : x
  2. Step 2: Convert to fraction form
    168,441,422,192/374,543,942,240 = 374,543,942,240/x
  3. Step 3: Cross multiply
    168,441,422,192x = 374,543,942,240 × 374,543,942,240
  4. Step 4: Simplify right side
    168,441,422,192x = 140,283,164,668,680,451,653,632
  5. Step 5: Solve for x
    x = 140,283,164,668,680,451,653,632/168,441,422,192
  6. Step 6: Final answer
    x = 832,830,564,139.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.