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Finding the Third Proportional to 93,966.75 and 195,709.50

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Solution

The third proportional to 93,966.75 and 195,709.50 is: 407,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,966.75 : 195,709.50 = 195,709.50 : x
  2. Step 2: Convert to fraction form
    93,966.75/195,709.50 = 195,709.50/x
  3. Step 3: Cross multiply
    93,966.75x = 195,709.50 × 195,709.50
  4. Step 4: Simplify right side
    93,966.75x = 38,302,208,390.25
  5. Step 5: Solve for x
    x = 38,302,208,390.25/93,966.75
  6. Step 6: Final answer
    x = 407,614.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.