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Finding the Third Proportional to 93,538.88 and 205,187.25

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Solution

The third proportional to 93,538.88 and 205,187.25 is: 450,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,538.88 : 205,187.25 = 205,187.25 : x
  2. Step 2: Convert to fraction form
    93,538.88/205,187.25 = 205,187.25/x
  3. Step 3: Cross multiply
    93,538.88x = 205,187.25 × 205,187.25
  4. Step 4: Simplify right side
    93,538.88x = 42,101,807,562.56
  5. Step 5: Solve for x
    x = 42,101,807,562.56/93,538.88
  6. Step 6: Final answer
    x = 450,099.57

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Why These Related Problems?

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