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Finding the Third Proportional to 84,688.03 and 184,000.78

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Solution

The third proportional to 84,688.03 and 184,000.78 is: 399,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,688.03 : 184,000.78 = 184,000.78 : x
  2. Step 2: Convert to fraction form
    84,688.03/184,000.78 = 184,000.78/x
  3. Step 3: Cross multiply
    84,688.03x = 184,000.78 × 184,000.78
  4. Step 4: Simplify right side
    84,688.03x = 33,856,287,500.61
  5. Step 5: Solve for x
    x = 33,856,287,500.61/84,688.03
  6. Step 6: Final answer
    x = 399,776.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.