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Finding the Third Proportional to 47,659.88 and 94,123.13

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Solution

The third proportional to 47,659.88 and 94,123.13 is: 185,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,659.88 : 94,123.13 = 94,123.13 : x
  2. Step 2: Convert to fraction form
    47,659.88/94,123.13 = 94,123.13/x
  3. Step 3: Cross multiply
    47,659.88x = 94,123.13 × 94,123.13
  4. Step 4: Simplify right side
    47,659.88x = 8,859,162,659.77
  5. Step 5: Solve for x
    x = 8,859,162,659.77/47,659.88
  6. Step 6: Final answer
    x = 185,883.04

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.