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Finding the Third Proportional to 92,527.31 and 192,322.69

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Solution

The third proportional to 92,527.31 and 192,322.69 is: 399,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,527.31 : 192,322.69 = 192,322.69 : x
  2. Step 2: Convert to fraction form
    92,527.31/192,322.69 = 192,322.69/x
  3. Step 3: Cross multiply
    92,527.31x = 192,322.69 × 192,322.69
  4. Step 4: Simplify right side
    92,527.31x = 36,988,016,127.22
  5. Step 5: Solve for x
    x = 36,988,016,127.22/92,527.31
  6. Step 6: Final answer
    x = 399,752.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.