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Finding the Third Proportional to 50,653.50 and 108,691.50

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Solution

The third proportional to 50,653.50 and 108,691.50 is: 233,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.50 : 108,691.50 = 108,691.50 : x
  2. Step 2: Convert to fraction form
    50,653.50/108,691.50 = 108,691.50/x
  3. Step 3: Cross multiply
    50,653.50x = 108,691.50 × 108,691.50
  4. Step 4: Simplify right side
    50,653.50x = 11,813,842,172.25
  5. Step 5: Solve for x
    x = 11,813,842,172.25/50,653.50
  6. Step 6: Final answer
    x = 233,228.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.