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Finding the Third Proportional to 71,204,490 and 146,183,742

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Solution

The third proportional to 71,204,490 and 146,183,742 is: 300,117,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204,490 : 146,183,742 = 146,183,742 : x
  2. Step 2: Convert to fraction form
    71,204,490/146,183,742 = 146,183,742/x
  3. Step 3: Cross multiply
    71,204,490x = 146,183,742 × 146,183,742
  4. Step 4: Simplify right side
    71,204,490x = 21,369,686,425,122,564
  5. Step 5: Solve for x
    x = 21,369,686,425,122,564/71,204,490
  6. Step 6: Final answer
    x = 300,117,119.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.