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Finding the Third Proportional to 46,976.50 and 101,342

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Solution

The third proportional to 46,976.50 and 101,342 is: 218,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976.50 : 101,342 = 101,342 : x
  2. Step 2: Convert to fraction form
    46,976.50/101,342 = 101,342/x
  3. Step 3: Cross multiply
    46,976.50x = 101,342 × 101,342
  4. Step 4: Simplify right side
    46,976.50x = 10,270,200,964
  5. Step 5: Solve for x
    x = 10,270,200,964/46,976.50
  6. Step 6: Final answer
    x = 218,624.23

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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.