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Finding the Third Proportional to 80,705,764 and 113,246,310

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Solution

The third proportional to 80,705,764 and 113,246,310 is: 158,907,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,705,764 : 113,246,310 = 113,246,310 : x
  2. Step 2: Convert to fraction form
    80,705,764/113,246,310 = 113,246,310/x
  3. Step 3: Cross multiply
    80,705,764x = 113,246,310 × 113,246,310
  4. Step 4: Simplify right side
    80,705,764x = 12,824,726,728,616,100
  5. Step 5: Solve for x
    x = 12,824,726,728,616,100/80,705,764
  6. Step 6: Final answer
    x = 158,907,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.