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Finding the Third Proportional to 93,197.25 and 199,455.75

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Solution

The third proportional to 93,197.25 and 199,455.75 is: 426,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,197.25 : 199,455.75 = 199,455.75 : x
  2. Step 2: Convert to fraction form
    93,197.25/199,455.75 = 199,455.75/x
  3. Step 3: Cross multiply
    93,197.25x = 199,455.75 × 199,455.75
  4. Step 4: Simplify right side
    93,197.25x = 39,782,596,208.06
  5. Step 5: Solve for x
    x = 39,782,596,208.06/93,197.25
  6. Step 6: Final answer
    x = 426,864.49

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