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Finding the Third Proportional to 216,527,949.50 and 444,534,703

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Solution

The third proportional to 216,527,949.50 and 444,534,703 is: 912,635,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,527,949.50 : 444,534,703 = 444,534,703 : x
  2. Step 2: Convert to fraction form
    216,527,949.50/444,534,703 = 444,534,703/x
  3. Step 3: Cross multiply
    216,527,949.50x = 444,534,703 × 444,534,703
  4. Step 4: Simplify right side
    216,527,949.50x = 197,611,102,171,298,208
  5. Step 5: Solve for x
    x = 197,611,102,171,298,208/216,527,949.50
  6. Step 6: Final answer
    x = 912,635,540.25

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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.