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Finding the Third Proportional to 184,581,511.50 and 285,715,281

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Solution

The third proportional to 184,581,511.50 and 285,715,281 is: 442,261,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,581,511.50 : 285,715,281 = 285,715,281 : x
  2. Step 2: Convert to fraction form
    184,581,511.50/285,715,281 = 285,715,281/x
  3. Step 3: Cross multiply
    184,581,511.50x = 285,715,281 × 285,715,281
  4. Step 4: Simplify right side
    184,581,511.50x = 81,633,221,796,908,960
  5. Step 5: Solve for x
    x = 81,633,221,796,908,960/184,581,511.50
  6. Step 6: Final answer
    x = 442,261,097.19

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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.