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Finding the Third Proportional to 93,838.50 and 195,442.88

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Solution

The third proportional to 93,838.50 and 195,442.88 is: 407,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,838.50 : 195,442.88 = 195,442.88 : x
  2. Step 2: Convert to fraction form
    93,838.50/195,442.88 = 195,442.88/x
  3. Step 3: Cross multiply
    93,838.50x = 195,442.88 × 195,442.88
  4. Step 4: Simplify right side
    93,838.50x = 38,197,917,388.27
  5. Step 5: Solve for x
    x = 38,197,917,388.27/93,838.50
  6. Step 6: Final answer
    x = 407,060.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.