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Finding the Third Proportional to 50,014.50 and 109,323

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Solution

The third proportional to 50,014.50 and 109,323 is: 238,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,014.50 : 109,323 = 109,323 : x
  2. Step 2: Convert to fraction form
    50,014.50/109,323 = 109,323/x
  3. Step 3: Cross multiply
    50,014.50x = 109,323 × 109,323
  4. Step 4: Simplify right side
    50,014.50x = 11,951,518,329
  5. Step 5: Solve for x
    x = 11,951,518,329/50,014.50
  6. Step 6: Final answer
    x = 238,961.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.