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Finding the Third Proportional to 93,994.56 and 195,734.74

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Solution

The third proportional to 93,994.56 and 195,734.74 is: 407,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,994.56 : 195,734.74 = 195,734.74 : x
  2. Step 2: Convert to fraction form
    93,994.56/195,734.74 = 195,734.74/x
  3. Step 3: Cross multiply
    93,994.56x = 195,734.74 × 195,734.74
  4. Step 4: Simplify right side
    93,994.56x = 38,312,089,299.21
  5. Step 5: Solve for x
    x = 38,312,089,299.21/93,994.56
  6. Step 6: Final answer
    x = 407,599.01

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Why These Related Problems?

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