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Finding the Third Proportional to 93,102 and 199,326

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Solution

The third proportional to 93,102 and 199,326 is: 426,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,102 : 199,326 = 199,326 : x
  2. Step 2: Convert to fraction form
    93,102/199,326 = 199,326/x
  3. Step 3: Cross multiply
    93,102x = 199,326 × 199,326
  4. Step 4: Simplify right side
    93,102x = 39,730,854,276
  5. Step 5: Solve for x
    x = 39,730,854,276/93,102
  6. Step 6: Final answer
    x = 426,745.44

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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.