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Finding the Third Proportional to 93,235.50 and 204,102.75

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Solution

The third proportional to 93,235.50 and 204,102.75 is: 446,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,235.50 : 204,102.75 = 204,102.75 : x
  2. Step 2: Convert to fraction form
    93,235.50/204,102.75 = 204,102.75/x
  3. Step 3: Cross multiply
    93,235.50x = 204,102.75 × 204,102.75
  4. Step 4: Simplify right side
    93,235.50x = 41,657,932,557.56
  5. Step 5: Solve for x
    x = 41,657,932,557.56/93,235.50
  6. Step 6: Final answer
    x = 446,803.34

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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.