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Finding the Third Proportional to 209,463,982.50 and 444,460,684

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Solution

The third proportional to 209,463,982.50 and 444,460,684 is: 943,099,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463,982.50 : 444,460,684 = 444,460,684 : x
  2. Step 2: Convert to fraction form
    209,463,982.50/444,460,684 = 444,460,684/x
  3. Step 3: Cross multiply
    209,463,982.50x = 444,460,684 × 444,460,684
  4. Step 4: Simplify right side
    209,463,982.50x = 197,545,299,621,747,840
  5. Step 5: Solve for x
    x = 197,545,299,621,747,840/209,463,982.50
  6. Step 6: Final answer
    x = 943,099,129.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.