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Finding the Third Proportional to 80,930,416.50 and 178,003,354.50

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Solution

The third proportional to 80,930,416.50 and 178,003,354.50 is: 391,511,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,930,416.50 : 178,003,354.50 = 178,003,354.50 : x
  2. Step 2: Convert to fraction form
    80,930,416.50/178,003,354.50 = 178,003,354.50/x
  3. Step 3: Cross multiply
    80,930,416.50x = 178,003,354.50 × 178,003,354.50
  4. Step 4: Simplify right side
    80,930,416.50x = 31,685,194,213,252,672
  5. Step 5: Solve for x
    x = 31,685,194,213,252,672/80,930,416.50
  6. Step 6: Final answer
    x = 391,511,567.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.