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Finding the Third Proportional to 206,153,642 and 441,817,564

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Solution

The third proportional to 206,153,642 and 441,817,564 is: 946,879,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153,642 : 441,817,564 = 441,817,564 : x
  2. Step 2: Convert to fraction form
    206,153,642/441,817,564 = 441,817,564/x
  3. Step 3: Cross multiply
    206,153,642x = 441,817,564 × 441,817,564
  4. Step 4: Simplify right side
    206,153,642x = 195,202,759,858,894,080
  5. Step 5: Solve for x
    x = 195,202,759,858,894,080/206,153,642
  6. Step 6: Final answer
    x = 946,879,996.71

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Why These Related Problems?

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