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Finding the Third Proportional to 46,270,171.50 and 100,505,406

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Solution

The third proportional to 46,270,171.50 and 100,505,406 is: 218,312,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,270,171.50 : 100,505,406 = 100,505,406 : x
  2. Step 2: Convert to fraction form
    46,270,171.50/100,505,406 = 100,505,406/x
  3. Step 3: Cross multiply
    46,270,171.50x = 100,505,406 × 100,505,406
  4. Step 4: Simplify right side
    46,270,171.50x = 10,101,336,635,224,836
  5. Step 5: Solve for x
    x = 10,101,336,635,224,836/46,270,171.50
  6. Step 6: Final answer
    x = 218,312,063.86

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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.