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Finding the Third Proportional to 80,894,112 and 114,462,672

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Solution

The third proportional to 80,894,112 and 114,462,672 is: 161,961,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,894,112 : 114,462,672 = 114,462,672 : x
  2. Step 2: Convert to fraction form
    80,894,112/114,462,672 = 114,462,672/x
  3. Step 3: Cross multiply
    80,894,112x = 114,462,672 × 114,462,672
  4. Step 4: Simplify right side
    80,894,112x = 13,101,703,281,379,584
  5. Step 5: Solve for x
    x = 13,101,703,281,379,584/80,894,112
  6. Step 6: Final answer
    x = 161,961,148.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.