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Finding the Third Proportional to 50,665.13 and 109,713.38

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Solution

The third proportional to 50,665.13 and 109,713.38 is: 237,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,665.13 : 109,713.38 = 109,713.38 : x
  2. Step 2: Convert to fraction form
    50,665.13/109,713.38 = 109,713.38/x
  3. Step 3: Cross multiply
    50,665.13x = 109,713.38 × 109,713.38
  4. Step 4: Simplify right side
    50,665.13x = 12,037,024,653.89
  5. Step 5: Solve for x
    x = 12,037,024,653.89/50,665.13
  6. Step 6: Final answer
    x = 237,580.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.