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Finding the Third Proportional to 84,683.60 and 184,129.45

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Solution

The third proportional to 84,683.60 and 184,129.45 is: 400,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,683.60 : 184,129.45 = 184,129.45 : x
  2. Step 2: Convert to fraction form
    84,683.60/184,129.45 = 184,129.45/x
  3. Step 3: Cross multiply
    84,683.60x = 184,129.45 × 184,129.45
  4. Step 4: Simplify right side
    84,683.60x = 33,903,655,508.11
  5. Step 5: Solve for x
    x = 33,903,655,508.11/84,683.60
  6. Step 6: Final answer
    x = 400,356.80

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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.