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Finding the Third Proportional to 89,046 and 192,003.75

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Solution

The third proportional to 89,046 and 192,003.75 is: 414,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,046 : 192,003.75 = 192,003.75 : x
  2. Step 2: Convert to fraction form
    89,046/192,003.75 = 192,003.75/x
  3. Step 3: Cross multiply
    89,046x = 192,003.75 × 192,003.75
  4. Step 4: Simplify right side
    89,046x = 36,865,440,014.06
  5. Step 5: Solve for x
    x = 36,865,440,014.06/89,046
  6. Step 6: Final answer
    x = 414,004.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.