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Finding the Third Proportional to 148,527,694 and 227,060,563

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Solution

The third proportional to 148,527,694 and 227,060,563 is: 347,117,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,527,694 : 227,060,563 = 227,060,563 : x
  2. Step 2: Convert to fraction form
    148,527,694/227,060,563 = 227,060,563/x
  3. Step 3: Cross multiply
    148,527,694x = 227,060,563 × 227,060,563
  4. Step 4: Simplify right side
    148,527,694x = 51,556,499,269,876,968
  5. Step 5: Solve for x
    x = 51,556,499,269,876,968/148,527,694
  6. Step 6: Final answer
    x = 347,117,078.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.