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Finding the Third Proportional to 226,159,116 and 489,872,215

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Solution

The third proportional to 226,159,116 and 489,872,215 is: 1,061,088,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,159,116 : 489,872,215 = 489,872,215 : x
  2. Step 2: Convert to fraction form
    226,159,116/489,872,215 = 489,872,215/x
  3. Step 3: Cross multiply
    226,159,116x = 489,872,215 × 489,872,215
  4. Step 4: Simplify right side
    226,159,116x = 239,974,787,029,006,240
  5. Step 5: Solve for x
    x = 239,974,787,029,006,240/226,159,116
  6. Step 6: Final answer
    x = 1,061,088,278.35

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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.