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Finding the Third Proportional to 92,426.50 and 189,223.50

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Solution

The third proportional to 92,426.50 and 189,223.50 is: 387,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,426.50 : 189,223.50 = 189,223.50 : x
  2. Step 2: Convert to fraction form
    92,426.50/189,223.50 = 189,223.50/x
  3. Step 3: Cross multiply
    92,426.50x = 189,223.50 × 189,223.50
  4. Step 4: Simplify right side
    92,426.50x = 35,805,532,952.25
  5. Step 5: Solve for x
    x = 35,805,532,952.25/92,426.50
  6. Step 6: Final answer
    x = 387,394.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.