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Finding the Third Proportional to 195,029,214 and 406,200,999

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Solution

The third proportional to 195,029,214 and 406,200,999 is: 846,023,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,029,214 : 406,200,999 = 406,200,999 : x
  2. Step 2: Convert to fraction form
    195,029,214/406,200,999 = 406,200,999/x
  3. Step 3: Cross multiply
    195,029,214x = 406,200,999 × 406,200,999
  4. Step 4: Simplify right side
    195,029,214x = 164,999,251,588,598,016
  5. Step 5: Solve for x
    x = 164,999,251,588,598,016/195,029,214
  6. Step 6: Final answer
    x = 846,023,260.85

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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.