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Finding the Third Proportional to 226,101,816 and 489,765,564

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Solution

The third proportional to 226,101,816 and 489,765,564 is: 1,060,895,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,101,816 : 489,765,564 = 489,765,564 : x
  2. Step 2: Convert to fraction form
    226,101,816/489,765,564 = 489,765,564/x
  3. Step 3: Cross multiply
    226,101,816x = 489,765,564 × 489,765,564
  4. Step 4: Simplify right side
    226,101,816x = 239,870,307,680,238,080
  5. Step 5: Solve for x
    x = 239,870,307,680,238,080/226,101,816
  6. Step 6: Final answer
    x = 1,060,895,095.51

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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.