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Finding the Third Proportional to 195,028,963 and 406,200,414

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Solution

The third proportional to 195,028,963 and 406,200,414 is: 846,021,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,028,963 : 406,200,414 = 406,200,414 : x
  2. Step 2: Convert to fraction form
    195,028,963/406,200,414 = 406,200,414/x
  3. Step 3: Cross multiply
    195,028,963x = 406,200,414 × 406,200,414
  4. Step 4: Simplify right side
    195,028,963x = 164,998,776,333,771,392
  5. Step 5: Solve for x
    x = 164,998,776,333,771,392/195,028,963
  6. Step 6: Final answer
    x = 846,021,912.83

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.