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Finding the Third Proportional to 93,968.44 and 197,164.13

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Solution

The third proportional to 93,968.44 and 197,164.13 is: 413,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,968.44 : 197,164.13 = 197,164.13 : x
  2. Step 2: Convert to fraction form
    93,968.44/197,164.13 = 197,164.13/x
  3. Step 3: Cross multiply
    93,968.44x = 197,164.13 × 197,164.13
  4. Step 4: Simplify right side
    93,968.44x = 38,873,692,187.02
  5. Step 5: Solve for x
    x = 38,873,692,187.02/93,968.44
  6. Step 6: Final answer
    x = 413,688.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.