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Finding the Third Proportional to 84,282.08 and 179,291.29

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Solution

The third proportional to 84,282.08 and 179,291.29 is: 381,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.08 : 179,291.29 = 179,291.29 : x
  2. Step 2: Convert to fraction form
    84,282.08/179,291.29 = 179,291.29/x
  3. Step 3: Cross multiply
    84,282.08x = 179,291.29 × 179,291.29
  4. Step 4: Simplify right side
    84,282.08x = 32,145,364,932.98
  5. Step 5: Solve for x
    x = 32,145,364,932.98/84,282.08
  6. Step 6: Final answer
    x = 381,402.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.