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Finding the Third Proportional to 89,194.50 and 187,146.84

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Solution

The third proportional to 89,194.50 and 187,146.84 is: 392,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,194.50 : 187,146.84 = 187,146.84 : x
  2. Step 2: Convert to fraction form
    89,194.50/187,146.84 = 187,146.84/x
  3. Step 3: Cross multiply
    89,194.50x = 187,146.84 × 187,146.84
  4. Step 4: Simplify right side
    89,194.50x = 35,023,941,125.59
  5. Step 5: Solve for x
    x = 35,023,941,125.59/89,194.50
  6. Step 6: Final answer
    x = 392,669.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.