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Finding the Third Proportional to 146,222,311 and 227,142,696

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Solution

The third proportional to 146,222,311 and 227,142,696 is: 352,844,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,222,311 : 227,142,696 = 227,142,696 : x
  2. Step 2: Convert to fraction form
    146,222,311/227,142,696 = 227,142,696/x
  3. Step 3: Cross multiply
    146,222,311x = 227,142,696 × 227,142,696
  4. Step 4: Simplify right side
    146,222,311x = 51,593,804,346,148,416
  5. Step 5: Solve for x
    x = 51,593,804,346,148,416/146,222,311
  6. Step 6: Final answer
    x = 352,844,952.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.