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Finding the Third Proportional to 226,077,162 and 489,721,348.50

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Solution

The third proportional to 226,077,162 and 489,721,348.50 is: 1,060,819,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,077,162 : 489,721,348.50 = 489,721,348.50 : x
  2. Step 2: Convert to fraction form
    226,077,162/489,721,348.50 = 489,721,348.50/x
  3. Step 3: Cross multiply
    226,077,162x = 489,721,348.50 × 489,721,348.50
  4. Step 4: Simplify right side
    226,077,162x = 239,826,999,176,658,464
  5. Step 5: Solve for x
    x = 239,826,999,176,658,464/226,077,162
  6. Step 6: Final answer
    x = 1,060,819,222.32

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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.