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Finding the Third Proportional to 84,903.19 and 182,827.13

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Solution

The third proportional to 84,903.19 and 182,827.13 is: 393,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,903.19 : 182,827.13 = 182,827.13 : x
  2. Step 2: Convert to fraction form
    84,903.19/182,827.13 = 182,827.13/x
  3. Step 3: Cross multiply
    84,903.19x = 182,827.13 × 182,827.13
  4. Step 4: Simplify right side
    84,903.19x = 33,425,757,635.77
  5. Step 5: Solve for x
    x = 33,425,757,635.77/84,903.19
  6. Step 6: Final answer
    x = 393,692.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.