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Finding the Third Proportional to 182,144,559 and 279,796,320

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Solution

The third proportional to 182,144,559 and 279,796,320 is: 429,801,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,144,559 : 279,796,320 = 279,796,320 : x
  2. Step 2: Convert to fraction form
    182,144,559/279,796,320 = 279,796,320/x
  3. Step 3: Cross multiply
    182,144,559x = 279,796,320 × 279,796,320
  4. Step 4: Simplify right side
    182,144,559x = 78,285,980,685,542,400
  5. Step 5: Solve for x
    x = 78,285,980,685,542,400/182,144,559
  6. Step 6: Final answer
    x = 429,801,368.29

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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.