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Finding the Third Proportional to 170,912,213,058 and 251,248,535,067

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Solution

The third proportional to 170,912,213,058 and 251,248,535,067 is: 369,346,492,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,912,213,058 : 251,248,535,067 = 251,248,535,067 : x
  2. Step 2: Convert to fraction form
    170,912,213,058/251,248,535,067 = 251,248,535,067/x
  3. Step 3: Cross multiply
    170,912,213,058x = 251,248,535,067 × 251,248,535,067
  4. Step 4: Simplify right side
    170,912,213,058x = 63,125,826,373,313,529,643,008
  5. Step 5: Solve for x
    x = 63,125,826,373,313,529,643,008/170,912,213,058
  6. Step 6: Final answer
    x = 369,346,492,236.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.