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Finding the Third Proportional to 91,830 and 201,696

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Solution

The third proportional to 91,830 and 201,696 is: 443,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,830 : 201,696 = 201,696 : x
  2. Step 2: Convert to fraction form
    91,830/201,696 = 201,696/x
  3. Step 3: Cross multiply
    91,830x = 201,696 × 201,696
  4. Step 4: Simplify right side
    91,830x = 40,681,276,416
  5. Step 5: Solve for x
    x = 40,681,276,416/91,830
  6. Step 6: Final answer
    x = 443,006.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.