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Finding the Third Proportional to 94,384,375 and 222,490,214

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Solution

The third proportional to 94,384,375 and 222,490,214 is: 524,471,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,384,375 : 222,490,214 = 222,490,214 : x
  2. Step 2: Convert to fraction form
    94,384,375/222,490,214 = 222,490,214/x
  3. Step 3: Cross multiply
    94,384,375x = 222,490,214 × 222,490,214
  4. Step 4: Simplify right side
    94,384,375x = 49,501,895,325,765,792
  5. Step 5: Solve for x
    x = 49,501,895,325,765,792/94,384,375
  6. Step 6: Final answer
    x = 524,471,294.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.