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Finding the Third Proportional to 46,331.50 and 101,159

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Solution

The third proportional to 46,331.50 and 101,159 is: 220,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,331.50 : 101,159 = 101,159 : x
  2. Step 2: Convert to fraction form
    46,331.50/101,159 = 101,159/x
  3. Step 3: Cross multiply
    46,331.50x = 101,159 × 101,159
  4. Step 4: Simplify right side
    46,331.50x = 10,233,143,281
  5. Step 5: Solve for x
    x = 10,233,143,281/46,331.50
  6. Step 6: Final answer
    x = 220,867.95

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