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Finding the Third Proportional to 93,534.75 and 178,458.19

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Solution

The third proportional to 93,534.75 and 178,458.19 is: 340,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,534.75 : 178,458.19 = 178,458.19 : x
  2. Step 2: Convert to fraction form
    93,534.75/178,458.19 = 178,458.19/x
  3. Step 3: Cross multiply
    93,534.75x = 178,458.19 × 178,458.19
  4. Step 4: Simplify right side
    93,534.75x = 31,847,324,685.79
  5. Step 5: Solve for x
    x = 31,847,324,685.79/93,534.75
  6. Step 6: Final answer
    x = 340,486.55

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.