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Finding the Third Proportional to 154,258,792 and 204,724,276

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Solution

The third proportional to 154,258,792 and 204,724,276 is: 271,699,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,258,792 : 204,724,276 = 204,724,276 : x
  2. Step 2: Convert to fraction form
    154,258,792/204,724,276 = 204,724,276/x
  3. Step 3: Cross multiply
    154,258,792x = 204,724,276 × 204,724,276
  4. Step 4: Simplify right side
    154,258,792x = 41,912,029,183,724,176
  5. Step 5: Solve for x
    x = 41,912,029,183,724,176/154,258,792
  6. Step 6: Final answer
    x = 271,699,451.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.