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Finding the Third Proportional to 45,896.63 and 101,624.63

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Solution

The third proportional to 45,896.63 and 101,624.63 is: 225,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,896.63 : 101,624.63 = 101,624.63 : x
  2. Step 2: Convert to fraction form
    45,896.63/101,624.63 = 101,624.63/x
  3. Step 3: Cross multiply
    45,896.63x = 101,624.63 × 101,624.63
  4. Step 4: Simplify right side
    45,896.63x = 10,327,564,406.39
  5. Step 5: Solve for x
    x = 10,327,564,406.39/45,896.63
  6. Step 6: Final answer
    x = 225,017.95

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.