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Finding the Third Proportional to 200,836,711,302 and 436,975,690,125

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Solution

The third proportional to 200,836,711,302 and 436,975,690,125 is: 950,761,205,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,836,711,302 : 436,975,690,125 = 436,975,690,125 : x
  2. Step 2: Convert to fraction form
    200,836,711,302/436,975,690,125 = 436,975,690,125/x
  3. Step 3: Cross multiply
    200,836,711,302x = 436,975,690,125 × 436,975,690,125
  4. Step 4: Simplify right side
    200,836,711,302x = 190,947,753,760,220,023,619,584
  5. Step 5: Solve for x
    x = 190,947,753,760,220,023,619,584/200,836,711,302
  6. Step 6: Final answer
    x = 950,761,205,570.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.