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Finding the Third Proportional to 92,477 and 218,169

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Solution

The third proportional to 92,477 and 218,169 is: 514,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,477 : 218,169 = 218,169 : x
  2. Step 2: Convert to fraction form
    92,477/218,169 = 218,169/x
  3. Step 3: Cross multiply
    92,477x = 218,169 × 218,169
  4. Step 4: Simplify right side
    92,477x = 47,597,712,561
  5. Step 5: Solve for x
    x = 47,597,712,561/92,477
  6. Step 6: Final answer
    x = 514,697.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.