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Finding the Third Proportional to 47,331 and 109,579.50

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Solution

The third proportional to 47,331 and 109,579.50 is: 253,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,331 : 109,579.50 = 109,579.50 : x
  2. Step 2: Convert to fraction form
    47,331/109,579.50 = 109,579.50/x
  3. Step 3: Cross multiply
    47,331x = 109,579.50 × 109,579.50
  4. Step 4: Simplify right side
    47,331x = 12,007,666,820.25
  5. Step 5: Solve for x
    x = 12,007,666,820.25/47,331
  6. Step 6: Final answer
    x = 253,695.61

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.