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Finding the Third Proportional to 91,685 and 198,814

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Solution

The third proportional to 91,685 and 198,814 is: 431,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,685 : 198,814 = 198,814 : x
  2. Step 2: Convert to fraction form
    91,685/198,814 = 198,814/x
  3. Step 3: Cross multiply
    91,685x = 198,814 × 198,814
  4. Step 4: Simplify right side
    91,685x = 39,527,006,596
  5. Step 5: Solve for x
    x = 39,527,006,596/91,685
  6. Step 6: Final answer
    x = 431,117.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.