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Finding the Third Proportional to 45,816 and 96,550

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Solution

The third proportional to 45,816 and 96,550 is: 203,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,816 : 96,550 = 96,550 : x
  2. Step 2: Convert to fraction form
    45,816/96,550 = 96,550/x
  3. Step 3: Cross multiply
    45,816x = 96,550 × 96,550
  4. Step 4: Simplify right side
    45,816x = 9,321,902,500
  5. Step 5: Solve for x
    x = 9,321,902,500/45,816
  6. Step 6: Final answer
    x = 203,463.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.