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Finding the Third Proportional to 93,548.25 and 205,777.13

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Solution

The third proportional to 93,548.25 and 205,777.13 is: 452,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,548.25 : 205,777.13 = 205,777.13 : x
  2. Step 2: Convert to fraction form
    93,548.25/205,777.13 = 205,777.13/x
  3. Step 3: Cross multiply
    93,548.25x = 205,777.13 × 205,777.13
  4. Step 4: Simplify right side
    93,548.25x = 42,344,225,173.27
  5. Step 5: Solve for x
    x = 42,344,225,173.27/93,548.25
  6. Step 6: Final answer
    x = 452,645.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.