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Finding the Third Proportional to 200,593,405 and 436,798,085

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Solution

The third proportional to 200,593,405 and 436,798,085 is: 951,140,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,593,405 : 436,798,085 = 436,798,085 : x
  2. Step 2: Convert to fraction form
    200,593,405/436,798,085 = 436,798,085/x
  3. Step 3: Cross multiply
    200,593,405x = 436,798,085 × 436,798,085
  4. Step 4: Simplify right side
    200,593,405x = 190,792,567,059,667,232
  5. Step 5: Solve for x
    x = 190,792,567,059,667,232/200,593,405
  6. Step 6: Final answer
    x = 951,140,776.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.