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Finding the Third Proportional to 48,484.50 and 105,694.50

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Solution

The third proportional to 48,484.50 and 105,694.50 is: 230,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484.50 : 105,694.50 = 105,694.50 : x
  2. Step 2: Convert to fraction form
    48,484.50/105,694.50 = 105,694.50/x
  3. Step 3: Cross multiply
    48,484.50x = 105,694.50 × 105,694.50
  4. Step 4: Simplify right side
    48,484.50x = 11,171,327,330.25
  5. Step 5: Solve for x
    x = 11,171,327,330.25/48,484.50
  6. Step 6: Final answer
    x = 230,410.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.