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Finding the Third Proportional to 89,047.69 and 192,304.13

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Solution

The third proportional to 89,047.69 and 192,304.13 is: 415,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,047.69 : 192,304.13 = 192,304.13 : x
  2. Step 2: Convert to fraction form
    89,047.69/192,304.13 = 192,304.13/x
  3. Step 3: Cross multiply
    89,047.69x = 192,304.13 × 192,304.13
  4. Step 4: Simplify right side
    89,047.69x = 36,980,876,492.02
  5. Step 5: Solve for x
    x = 36,980,876,492.02/89,047.69
  6. Step 6: Final answer
    x = 415,292.95

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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.