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Finding the Third Proportional to 64,233.84 and 138,310.03

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Solution

The third proportional to 64,233.84 and 138,310.03 is: 297,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,233.84 : 138,310.03 = 138,310.03 : x
  2. Step 2: Convert to fraction form
    64,233.84/138,310.03 = 138,310.03/x
  3. Step 3: Cross multiply
    64,233.84x = 138,310.03 × 138,310.03
  4. Step 4: Simplify right side
    64,233.84x = 19,129,664,744.38
  5. Step 5: Solve for x
    x = 19,129,664,744.38/64,233.84
  6. Step 6: Final answer
    x = 297,812.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.