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Finding the Third Proportional to 205,139,635,392 and 445,592,894,208

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Solution

The third proportional to 205,139,635,392 and 445,592,894,208 is: 967,892,075,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139,635,392 : 445,592,894,208 = 445,592,894,208 : x
  2. Step 2: Convert to fraction form
    205,139,635,392/445,592,894,208 = 445,592,894,208/x
  3. Step 3: Cross multiply
    205,139,635,392x = 445,592,894,208 × 445,592,894,208
  4. Step 4: Simplify right side
    205,139,635,392x = 198,553,027,368,661,878,308,864
  5. Step 5: Solve for x
    x = 198,553,027,368,661,878,308,864/205,139,635,392
  6. Step 6: Final answer
    x = 967,892,075,021.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.