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Finding the Third Proportional to 232,790,841 and 323,677,093.50

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Solution

The third proportional to 232,790,841 and 323,677,093.50 is: 450,047,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,790,841 : 323,677,093.50 = 323,677,093.50 : x
  2. Step 2: Convert to fraction form
    232,790,841/323,677,093.50 = 323,677,093.50/x
  3. Step 3: Cross multiply
    232,790,841x = 323,677,093.50 × 323,677,093.50
  4. Step 4: Simplify right side
    232,790,841x = 104,766,860,856,607,744
  5. Step 5: Solve for x
    x = 104,766,860,856,607,744/232,790,841
  6. Step 6: Final answer
    x = 450,047,177.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.