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Finding the Third Proportional to 182,144,560 and 279,796,322

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Solution

The third proportional to 182,144,560 and 279,796,322 is: 429,801,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,144,560 : 279,796,322 = 279,796,322 : x
  2. Step 2: Convert to fraction form
    182,144,560/279,796,322 = 279,796,322/x
  3. Step 3: Cross multiply
    182,144,560x = 279,796,322 × 279,796,322
  4. Step 4: Simplify right side
    182,144,560x = 78,285,981,804,727,680
  5. Step 5: Solve for x
    x = 78,285,981,804,727,680/182,144,560
  6. Step 6: Final answer
    x = 429,801,372.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.