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Finding the Third Proportional to 93,838.50 and 206,835.75

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Solution

The third proportional to 93,838.50 and 206,835.75 is: 455,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,838.50 : 206,835.75 = 206,835.75 : x
  2. Step 2: Convert to fraction form
    93,838.50/206,835.75 = 206,835.75/x
  3. Step 3: Cross multiply
    93,838.50x = 206,835.75 × 206,835.75
  4. Step 4: Simplify right side
    93,838.50x = 42,781,027,478.06
  5. Step 5: Solve for x
    x = 42,781,027,478.06/93,838.50
  6. Step 6: Final answer
    x = 455,900.59

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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.