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Finding the Third Proportional to 84,024.56 and 181,419.94

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Solution

The third proportional to 84,024.56 and 181,419.94 is: 391,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024.56 : 181,419.94 = 181,419.94 : x
  2. Step 2: Convert to fraction form
    84,024.56/181,419.94 = 181,419.94/x
  3. Step 3: Cross multiply
    84,024.56x = 181,419.94 × 181,419.94
  4. Step 4: Simplify right side
    84,024.56x = 32,913,193,722.50
  5. Step 5: Solve for x
    x = 32,913,193,722.50/84,024.56
  6. Step 6: Final answer
    x = 391,709.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.