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Finding the Third Proportional to 76,276,980 and 166,814,388

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Solution

The third proportional to 76,276,980 and 166,814,388 is: 364,815,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,276,980 : 166,814,388 = 166,814,388 : x
  2. Step 2: Convert to fraction form
    76,276,980/166,814,388 = 166,814,388/x
  3. Step 3: Cross multiply
    76,276,980x = 166,814,388 × 166,814,388
  4. Step 4: Simplify right side
    76,276,980x = 27,827,040,043,814,544
  5. Step 5: Solve for x
    x = 27,827,040,043,814,544/76,276,980
  6. Step 6: Final answer
    x = 364,815,702.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.