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Finding the Third Proportional to 176,248,996,904 and 264,560,042,219

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Solution

The third proportional to 176,248,996,904 and 264,560,042,219 is: 397,120,081,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,248,996,904 : 264,560,042,219 = 264,560,042,219 : x
  2. Step 2: Convert to fraction form
    176,248,996,904/264,560,042,219 = 264,560,042,219/x
  3. Step 3: Cross multiply
    176,248,996,904x = 264,560,042,219 × 264,560,042,219
  4. Step 4: Simplify right side
    176,248,996,904x = 69,992,015,938,919,063,355,392
  5. Step 5: Solve for x
    x = 69,992,015,938,919,063,355,392/176,248,996,904
  6. Step 6: Final answer
    x = 397,120,081,069.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.