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Finding the Third Proportional to 123,214.92 and 186,466.43

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Solution

The third proportional to 123,214.92 and 186,466.43 is: 282,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,214.92 : 186,466.43 = 186,466.43 : x
  2. Step 2: Convert to fraction form
    123,214.92/186,466.43 = 186,466.43/x
  3. Step 3: Cross multiply
    123,214.92x = 186,466.43 × 186,466.43
  4. Step 4: Simplify right side
    123,214.92x = 34,769,729,400.40
  5. Step 5: Solve for x
    x = 34,769,729,400.40/123,214.92
  6. Step 6: Final answer
    x = 282,187.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.