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Finding the Third Proportional to 93,866.50 and 195,499

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Solution

The third proportional to 93,866.50 and 195,499 is: 407,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,866.50 : 195,499 = 195,499 : x
  2. Step 2: Convert to fraction form
    93,866.50/195,499 = 195,499/x
  3. Step 3: Cross multiply
    93,866.50x = 195,499 × 195,499
  4. Step 4: Simplify right side
    93,866.50x = 38,219,859,001
  5. Step 5: Solve for x
    x = 38,219,859,001/93,866.50
  6. Step 6: Final answer
    x = 407,172.52

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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.