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Finding the Third Proportional to 107,892 and 237,046.50

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Solution

The third proportional to 107,892 and 237,046.50 is: 520,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,892 : 237,046.50 = 237,046.50 : x
  2. Step 2: Convert to fraction form
    107,892/237,046.50 = 237,046.50/x
  3. Step 3: Cross multiply
    107,892x = 237,046.50 × 237,046.50
  4. Step 4: Simplify right side
    107,892x = 56,191,043,162.25
  5. Step 5: Solve for x
    x = 56,191,043,162.25/107,892
  6. Step 6: Final answer
    x = 520,808.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.