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Finding the Third Proportional to 93,266.25 and 199,830

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Solution

The third proportional to 93,266.25 and 199,830 is: 428,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,266.25 : 199,830 = 199,830 : x
  2. Step 2: Convert to fraction form
    93,266.25/199,830 = 199,830/x
  3. Step 3: Cross multiply
    93,266.25x = 199,830 × 199,830
  4. Step 4: Simplify right side
    93,266.25x = 39,932,028,900
  5. Step 5: Solve for x
    x = 39,932,028,900/93,266.25
  6. Step 6: Final answer
    x = 428,150.90

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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.