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Finding the Third Proportional to 146,222,310.50 and 227,142,695.50

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Solution

The third proportional to 146,222,310.50 and 227,142,695.50 is: 352,844,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,222,310.50 : 227,142,695.50 = 227,142,695.50 : x
  2. Step 2: Convert to fraction form
    146,222,310.50/227,142,695.50 = 227,142,695.50/x
  3. Step 3: Cross multiply
    146,222,310.50x = 227,142,695.50 × 227,142,695.50
  4. Step 4: Simplify right side
    146,222,310.50x = 51,593,804,119,005,720
  5. Step 5: Solve for x
    x = 51,593,804,119,005,720/146,222,310.50
  6. Step 6: Final answer
    x = 352,844,951.93

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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.