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Finding the Third Proportional to 200,593,414 and 436,798,104

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Solution

The third proportional to 200,593,414 and 436,798,104 is: 951,140,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,593,414 : 436,798,104 = 436,798,104 : x
  2. Step 2: Convert to fraction form
    200,593,414/436,798,104 = 436,798,104/x
  3. Step 3: Cross multiply
    200,593,414x = 436,798,104 × 436,798,104
  4. Step 4: Simplify right side
    200,593,414x = 190,792,583,657,994,816
  5. Step 5: Solve for x
    x = 190,792,583,657,994,816/200,593,414
  6. Step 6: Final answer
    x = 951,140,816.91

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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.