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Finding the Third Proportional to 144,174,717 and 298,569,042

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Solution

The third proportional to 144,174,717 and 298,569,042 is: 618,301,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,174,717 : 298,569,042 = 298,569,042 : x
  2. Step 2: Convert to fraction form
    144,174,717/298,569,042 = 298,569,042/x
  3. Step 3: Cross multiply
    144,174,717x = 298,569,042 × 298,569,042
  4. Step 4: Simplify right side
    144,174,717x = 89,143,472,840,797,760
  5. Step 5: Solve for x
    x = 89,143,472,840,797,760/144,174,717
  6. Step 6: Final answer
    x = 618,301,701.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.