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Finding the Third Proportional to 306,815,208 and 659,166,672

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Solution

The third proportional to 306,815,208 and 659,166,672 is: 1,416,164,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,815,208 : 659,166,672 = 659,166,672 : x
  2. Step 2: Convert to fraction form
    306,815,208/659,166,672 = 659,166,672/x
  3. Step 3: Cross multiply
    306,815,208x = 659,166,672 × 659,166,672
  4. Step 4: Simplify right side
    306,815,208x = 434,500,701,475,555,584
  5. Step 5: Solve for x
    x = 434,500,701,475,555,584/306,815,208
  6. Step 6: Final answer
    x = 1,416,164,160.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.