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Finding the Third Proportional to 226,077,163.31 and 489,721,351.50

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Solution

The third proportional to 226,077,163.31 and 489,721,351.50 is: 1,060,819,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,077,163.31 : 489,721,351.50 = 489,721,351.50 : x
  2. Step 2: Convert to fraction form
    226,077,163.31/489,721,351.50 = 489,721,351.50/x
  3. Step 3: Cross multiply
    226,077,163.31x = 489,721,351.50 × 489,721,351.50
  4. Step 4: Simplify right side
    226,077,163.31x = 239,827,002,114,986,560
  5. Step 5: Solve for x
    x = 239,827,002,114,986,560/226,077,163.31
  6. Step 6: Final answer
    x = 1,060,819,229.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.