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Finding the Third Proportional to 204,467,754 and 440,113,382

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Solution

The third proportional to 204,467,754 and 440,113,382 is: 947,336,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,467,754 : 440,113,382 = 440,113,382 : x
  2. Step 2: Convert to fraction form
    204,467,754/440,113,382 = 440,113,382/x
  3. Step 3: Cross multiply
    204,467,754x = 440,113,382 × 440,113,382
  4. Step 4: Simplify right side
    204,467,754x = 193,699,789,015,477,920
  5. Step 5: Solve for x
    x = 193,699,789,015,477,920/204,467,754
  6. Step 6: Final answer
    x = 947,336,610.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.