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Finding the Third Proportional to 48,463.59 and 104,710.78

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Solution

The third proportional to 48,463.59 and 104,710.78 is: 226,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,463.59 : 104,710.78 = 104,710.78 : x
  2. Step 2: Convert to fraction form
    48,463.59/104,710.78 = 104,710.78/x
  3. Step 3: Cross multiply
    48,463.59x = 104,710.78 × 104,710.78
  4. Step 4: Simplify right side
    48,463.59x = 10,964,347,709.99
  5. Step 5: Solve for x
    x = 10,964,347,709.99/48,463.59
  6. Step 6: Final answer
    x = 226,238.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.