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Finding the Third Proportional to 75,873,156 and 179,049,334

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Solution

The third proportional to 75,873,156 and 179,049,334 is: 422,529,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,873,156 : 179,049,334 = 179,049,334 : x
  2. Step 2: Convert to fraction form
    75,873,156/179,049,334 = 179,049,334/x
  3. Step 3: Cross multiply
    75,873,156x = 179,049,334 × 179,049,334
  4. Step 4: Simplify right side
    75,873,156x = 32,058,664,005,843,556
  5. Step 5: Solve for x
    x = 32,058,664,005,843,556/75,873,156
  6. Step 6: Final answer
    x = 422,529,728.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.