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Finding the Third Proportional to 190,667,048 and 404,214,364

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Solution

The third proportional to 190,667,048 and 404,214,364 is: 856,934,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,667,048 : 404,214,364 = 404,214,364 : x
  2. Step 2: Convert to fraction form
    190,667,048/404,214,364 = 404,214,364/x
  3. Step 3: Cross multiply
    190,667,048x = 404,214,364 × 404,214,364
  4. Step 4: Simplify right side
    190,667,048x = 163,389,252,063,924,480
  5. Step 5: Solve for x
    x = 163,389,252,063,924,480/190,667,048
  6. Step 6: Final answer
    x = 856,934,922.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.