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Finding the Third Proportional to 93,536.02 and 205,181.23

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Solution

The third proportional to 93,536.02 and 205,181.23 is: 450,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,536.02 : 205,181.23 = 205,181.23 : x
  2. Step 2: Convert to fraction form
    93,536.02/205,181.23 = 205,181.23/x
  3. Step 3: Cross multiply
    93,536.02x = 205,181.23 × 205,181.23
  4. Step 4: Simplify right side
    93,536.02x = 42,099,335,733.69
  5. Step 5: Solve for x
    x = 42,099,335,733.69/93,536.02
  6. Step 6: Final answer
    x = 450,086.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.