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Finding the Third Proportional to 91,038 and 198,751

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Solution

The third proportional to 91,038 and 198,751 is: 433,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,038 : 198,751 = 198,751 : x
  2. Step 2: Convert to fraction form
    91,038/198,751 = 198,751/x
  3. Step 3: Cross multiply
    91,038x = 198,751 × 198,751
  4. Step 4: Simplify right side
    91,038x = 39,501,960,001
  5. Step 5: Solve for x
    x = 39,501,960,001/91,038
  6. Step 6: Final answer
    x = 433,906.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.