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Finding the Third Proportional to 201,976,940 and 441,745,168

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Solution

The third proportional to 201,976,940 and 441,745,168 is: 966,143,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976,940 : 441,745,168 = 441,745,168 : x
  2. Step 2: Convert to fraction form
    201,976,940/441,745,168 = 441,745,168/x
  3. Step 3: Cross multiply
    201,976,940x = 441,745,168 × 441,745,168
  4. Step 4: Simplify right side
    201,976,940x = 195,138,793,451,348,224
  5. Step 5: Solve for x
    x = 195,138,793,451,348,224/201,976,940
  6. Step 6: Final answer
    x = 966,143,924.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.