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Finding the Third Proportional to 123,916.50 and 196,947

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Solution

The third proportional to 123,916.50 and 196,947 is: 313,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,916.50 : 196,947 = 196,947 : x
  2. Step 2: Convert to fraction form
    123,916.50/196,947 = 196,947/x
  3. Step 3: Cross multiply
    123,916.50x = 196,947 × 196,947
  4. Step 4: Simplify right side
    123,916.50x = 38,788,120,809
  5. Step 5: Solve for x
    x = 38,788,120,809/123,916.50
  6. Step 6: Final answer
    x = 313,018.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.