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Finding the Third Proportional to 89,439 and 186,222

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Solution

The third proportional to 89,439 and 186,222 is: 387,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,439 : 186,222 = 186,222 : x
  2. Step 2: Convert to fraction form
    89,439/186,222 = 186,222/x
  3. Step 3: Cross multiply
    89,439x = 186,222 × 186,222
  4. Step 4: Simplify right side
    89,439x = 34,678,633,284
  5. Step 5: Solve for x
    x = 34,678,633,284/89,439
  6. Step 6: Final answer
    x = 387,735.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.