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Finding the Third Proportional to 50,473 and 109,305.50

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Solution

The third proportional to 50,473 and 109,305.50 is: 236,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,473 : 109,305.50 = 109,305.50 : x
  2. Step 2: Convert to fraction form
    50,473/109,305.50 = 109,305.50/x
  3. Step 3: Cross multiply
    50,473x = 109,305.50 × 109,305.50
  4. Step 4: Simplify right side
    50,473x = 11,947,692,330.25
  5. Step 5: Solve for x
    x = 11,947,692,330.25/50,473
  6. Step 6: Final answer
    x = 236,714.53

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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.