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Finding the Third Proportional to 235,016,832 and 489,108,318

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Solution

The third proportional to 235,016,832 and 489,108,318 is: 1,017,914,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,016,832 : 489,108,318 = 489,108,318 : x
  2. Step 2: Convert to fraction form
    235,016,832/489,108,318 = 489,108,318/x
  3. Step 3: Cross multiply
    235,016,832x = 489,108,318 × 489,108,318
  4. Step 4: Simplify right side
    235,016,832x = 239,226,946,736,789,120
  5. Step 5: Solve for x
    x = 239,226,946,736,789,120/235,016,832
  6. Step 6: Final answer
    x = 1,017,914,098.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.