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Finding the Third Proportional to 84,113.30 and 184,574.46

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Solution

The third proportional to 84,113.30 and 184,574.46 is: 405,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,113.30 : 184,574.46 = 184,574.46 : x
  2. Step 2: Convert to fraction form
    84,113.30/184,574.46 = 184,574.46/x
  3. Step 3: Cross multiply
    84,113.30x = 184,574.46 × 184,574.46
  4. Step 4: Simplify right side
    84,113.30x = 34,067,730,819.25
  5. Step 5: Solve for x
    x = 34,067,730,819.25/84,113.30
  6. Step 6: Final answer
    x = 405,021.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.