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Finding the Third Proportional to 46,581.50 and 100,543

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Solution

The third proportional to 46,581.50 and 100,543 is: 217,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,581.50 : 100,543 = 100,543 : x
  2. Step 2: Convert to fraction form
    46,581.50/100,543 = 100,543/x
  3. Step 3: Cross multiply
    46,581.50x = 100,543 × 100,543
  4. Step 4: Simplify right side
    46,581.50x = 10,108,894,849
  5. Step 5: Solve for x
    x = 10,108,894,849/46,581.50
  6. Step 6: Final answer
    x = 217,015.23

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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.