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Finding the Third Proportional to 93,400.50 and 193,447.13

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Solution

The third proportional to 93,400.50 and 193,447.13 is: 400,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,400.50 : 193,447.13 = 193,447.13 : x
  2. Step 2: Convert to fraction form
    93,400.50/193,447.13 = 193,447.13/x
  3. Step 3: Cross multiply
    93,400.50x = 193,447.13 × 193,447.13
  4. Step 4: Simplify right side
    93,400.50x = 37,421,790,170.77
  5. Step 5: Solve for x
    x = 37,421,790,170.77/93,400.50
  6. Step 6: Final answer
    x = 400,659.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.