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Finding the Third Proportional to 93,098 and 199,320

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Solution

The third proportional to 93,098 and 199,320 is: 426,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,098 : 199,320 = 199,320 : x
  2. Step 2: Convert to fraction form
    93,098/199,320 = 199,320/x
  3. Step 3: Cross multiply
    93,098x = 199,320 × 199,320
  4. Step 4: Simplify right side
    93,098x = 39,728,462,400
  5. Step 5: Solve for x
    x = 39,728,462,400/93,098
  6. Step 6: Final answer
    x = 426,738.09

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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.