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Finding the Third Proportional to 146,324,930 and 199,303,508

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Solution

The third proportional to 146,324,930 and 199,303,508 is: 271,463,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,324,930 : 199,303,508 = 199,303,508 : x
  2. Step 2: Convert to fraction form
    146,324,930/199,303,508 = 199,303,508/x
  3. Step 3: Cross multiply
    146,324,930x = 199,303,508 × 199,303,508
  4. Step 4: Simplify right side
    146,324,930x = 39,721,888,301,106,064
  5. Step 5: Solve for x
    x = 39,721,888,301,106,064/146,324,930
  6. Step 6: Final answer
    x = 271,463,572.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.