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Finding the Third Proportional to 50,895.84 and 107,492.06

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Solution

The third proportional to 50,895.84 and 107,492.06 is: 227,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,895.84 : 107,492.06 = 107,492.06 : x
  2. Step 2: Convert to fraction form
    50,895.84/107,492.06 = 107,492.06/x
  3. Step 3: Cross multiply
    50,895.84x = 107,492.06 × 107,492.06
  4. Step 4: Simplify right side
    50,895.84x = 11,554,543,500.50
  5. Step 5: Solve for x
    x = 11,554,543,500.50/50,895.84
  6. Step 6: Final answer
    x = 227,023.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.