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Finding the Third Proportional to 89,305.88 and 190,894.22

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Solution

The third proportional to 89,305.88 and 190,894.22 is: 408,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,305.88 : 190,894.22 = 190,894.22 : x
  2. Step 2: Convert to fraction form
    89,305.88/190,894.22 = 190,894.22/x
  3. Step 3: Cross multiply
    89,305.88x = 190,894.22 × 190,894.22
  4. Step 4: Simplify right side
    89,305.88x = 36,440,602,752.17
  5. Step 5: Solve for x
    x = 36,440,602,752.17/89,305.88
  6. Step 6: Final answer
    x = 408,042.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.