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Finding the Third Proportional to 184,581,511 and 285,715,279

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Solution

The third proportional to 184,581,511 and 285,715,279 is: 442,261,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,581,511 : 285,715,279 = 285,715,279 : x
  2. Step 2: Convert to fraction form
    184,581,511/285,715,279 = 285,715,279/x
  3. Step 3: Cross multiply
    184,581,511x = 285,715,279 × 285,715,279
  4. Step 4: Simplify right side
    184,581,511x = 81,633,220,654,047,840
  5. Step 5: Solve for x
    x = 81,633,220,654,047,840/184,581,511
  6. Step 6: Final answer
    x = 442,261,092.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.