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Finding the Third Proportional to 92,914 and 197,814

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Solution

The third proportional to 92,914 and 197,814 is: 421,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,914 : 197,814 = 197,814 : x
  2. Step 2: Convert to fraction form
    92,914/197,814 = 197,814/x
  3. Step 3: Cross multiply
    92,914x = 197,814 × 197,814
  4. Step 4: Simplify right side
    92,914x = 39,130,378,596
  5. Step 5: Solve for x
    x = 39,130,378,596/92,914
  6. Step 6: Final answer
    x = 421,146.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.