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Finding the Third Proportional to 144,174,718 and 298,569,044

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Solution

The third proportional to 144,174,718 and 298,569,044 is: 618,301,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,174,718 : 298,569,044 = 298,569,044 : x
  2. Step 2: Convert to fraction form
    144,174,718/298,569,044 = 298,569,044/x
  3. Step 3: Cross multiply
    144,174,718x = 298,569,044 × 298,569,044
  4. Step 4: Simplify right side
    144,174,718x = 89,143,474,035,073,936
  5. Step 5: Solve for x
    x = 89,143,474,035,073,936/144,174,718
  6. Step 6: Final answer
    x = 618,301,705.54

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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.