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Finding the Third Proportional to 226,159,114 and 489,872,211

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Solution

The third proportional to 226,159,114 and 489,872,211 is: 1,061,088,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,159,114 : 489,872,211 = 489,872,211 : x
  2. Step 2: Convert to fraction form
    226,159,114/489,872,211 = 489,872,211/x
  3. Step 3: Cross multiply
    226,159,114x = 489,872,211 × 489,872,211
  4. Step 4: Simplify right side
    226,159,114x = 239,974,783,110,028,512
  5. Step 5: Solve for x
    x = 239,974,783,110,028,512/226,159,114
  6. Step 6: Final answer
    x = 1,061,088,270.40

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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.