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Finding the Third Proportional to 92,430 and 189,231

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Solution

The third proportional to 92,430 and 189,231 is: 387,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,430 : 189,231 = 189,231 : x
  2. Step 2: Convert to fraction form
    92,430/189,231 = 189,231/x
  3. Step 3: Cross multiply
    92,430x = 189,231 × 189,231
  4. Step 4: Simplify right side
    92,430x = 35,808,371,361
  5. Step 5: Solve for x
    x = 35,808,371,361/92,430
  6. Step 6: Final answer
    x = 387,410.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.