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Finding the Third Proportional to 48,276 and 103,816.69

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Solution

The third proportional to 48,276 and 103,816.69 is: 223,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,276 : 103,816.69 = 103,816.69 : x
  2. Step 2: Convert to fraction form
    48,276/103,816.69 = 103,816.69/x
  3. Step 3: Cross multiply
    48,276x = 103,816.69 × 103,816.69
  4. Step 4: Simplify right side
    48,276x = 10,777,904,603.47
  5. Step 5: Solve for x
    x = 10,777,904,603.47/48,276
  6. Step 6: Final answer
    x = 223,255.96

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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.