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Finding the Third Proportional to 93,283.50 and 147,947.25

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Solution

The third proportional to 93,283.50 and 147,947.25 is: 234,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,283.50 : 147,947.25 = 147,947.25 : x
  2. Step 2: Convert to fraction form
    93,283.50/147,947.25 = 147,947.25/x
  3. Step 3: Cross multiply
    93,283.50x = 147,947.25 × 147,947.25
  4. Step 4: Simplify right side
    93,283.50x = 21,888,388,782.56
  5. Step 5: Solve for x
    x = 21,888,388,782.56/93,283.50
  6. Step 6: Final answer
    x = 234,643.73

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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.