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Finding the Third Proportional to 203,986,418,284.90 and 436,628,080,290.15

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Solution

The third proportional to 203,986,418,284.90 and 436,628,080,290.15 is: 934,592,028,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,986,418,284.90 : 436,628,080,290.15 = 436,628,080,290.15 : x
  2. Step 2: Convert to fraction form
    203,986,418,284.90/436,628,080,290.15 = 436,628,080,290.15/x
  3. Step 3: Cross multiply
    203,986,418,284.90x = 436,628,080,290.15 × 436,628,080,290.15
  4. Step 4: Simplify right side
    203,986,418,284.90x = 190,644,080,497,861,697,994,752
  5. Step 5: Solve for x
    x = 190,644,080,497,861,697,994,752/203,986,418,284.90
  6. Step 6: Final answer
    x = 934,592,028,728.09

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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.