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Finding the Third Proportional to 85,864.43 and 187,000.84

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Solution

The third proportional to 85,864.43 and 187,000.84 is: 407,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,864.43 : 187,000.84 = 187,000.84 : x
  2. Step 2: Convert to fraction form
    85,864.43/187,000.84 = 187,000.84/x
  3. Step 3: Cross multiply
    85,864.43x = 187,000.84 × 187,000.84
  4. Step 4: Simplify right side
    85,864.43x = 34,969,314,102.27
  5. Step 5: Solve for x
    x = 34,969,314,102.27/85,864.43
  6. Step 6: Final answer
    x = 407,261.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.