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Finding the Third Proportional to 203,986,418,287 and 436,628,080,294

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Solution

The third proportional to 203,986,418,287 and 436,628,080,294 is: 934,592,028,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,986,418,287 : 436,628,080,294 = 436,628,080,294 : x
  2. Step 2: Convert to fraction form
    203,986,418,287/436,628,080,294 = 436,628,080,294/x
  3. Step 3: Cross multiply
    203,986,418,287x = 436,628,080,294 × 436,628,080,294
  4. Step 4: Simplify right side
    203,986,418,287x = 190,644,080,501,223,717,863,424
  5. Step 5: Solve for x
    x = 190,644,080,501,223,717,863,424/203,986,418,287
  6. Step 6: Final answer
    x = 934,592,028,734.95

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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.