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Finding the Third Proportional to 206,153,652 and 441,817,578

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Solution

The third proportional to 206,153,652 and 441,817,578 is: 946,880,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153,652 : 441,817,578 = 441,817,578 : x
  2. Step 2: Convert to fraction form
    206,153,652/441,817,578 = 441,817,578/x
  3. Step 3: Cross multiply
    206,153,652x = 441,817,578 × 441,817,578
  4. Step 4: Simplify right side
    206,153,652x = 195,202,772,229,786,080
  5. Step 5: Solve for x
    x = 195,202,772,229,786,080/206,153,652
  6. Step 6: Final answer
    x = 946,880,010.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.