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Finding the Third Proportional to 93,489 and 200,092.50

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Solution

The third proportional to 93,489 and 200,092.50 is: 428,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,489 : 200,092.50 = 200,092.50 : x
  2. Step 2: Convert to fraction form
    93,489/200,092.50 = 200,092.50/x
  3. Step 3: Cross multiply
    93,489x = 200,092.50 × 200,092.50
  4. Step 4: Simplify right side
    93,489x = 40,037,008,556.25
  5. Step 5: Solve for x
    x = 40,037,008,556.25/93,489
  6. Step 6: Final answer
    x = 428,253.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.