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Finding the Third Proportional to 209,463,977.50 and 444,460,674

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Solution

The third proportional to 209,463,977.50 and 444,460,674 is: 943,099,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463,977.50 : 444,460,674 = 444,460,674 : x
  2. Step 2: Convert to fraction form
    209,463,977.50/444,460,674 = 444,460,674/x
  3. Step 3: Cross multiply
    209,463,977.50x = 444,460,674 × 444,460,674
  4. Step 4: Simplify right side
    209,463,977.50x = 197,545,290,732,534,272
  5. Step 5: Solve for x
    x = 197,545,290,732,534,272/209,463,977.50
  6. Step 6: Final answer
    x = 943,099,109.88

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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.