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Finding the Third Proportional to 91,446.19 and 187,129.69

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Solution

The third proportional to 91,446.19 and 187,129.69 is: 382,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,446.19 : 187,129.69 = 187,129.69 : x
  2. Step 2: Convert to fraction form
    91,446.19/187,129.69 = 187,129.69/x
  3. Step 3: Cross multiply
    91,446.19x = 187,129.69 × 187,129.69
  4. Step 4: Simplify right side
    91,446.19x = 35,017,519,943.85
  5. Step 5: Solve for x
    x = 35,017,519,943.85/91,446.19
  6. Step 6: Final answer
    x = 382,930.34

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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.