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Finding the Third Proportional to 89,215.88 and 131,358.94

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Solution

The third proportional to 89,215.88 and 131,358.94 is: 193,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215.88 : 131,358.94 = 131,358.94 : x
  2. Step 2: Convert to fraction form
    89,215.88/131,358.94 = 131,358.94/x
  3. Step 3: Cross multiply
    89,215.88x = 131,358.94 × 131,358.94
  4. Step 4: Simplify right side
    89,215.88x = 17,255,170,461.13
  5. Step 5: Solve for x
    x = 17,255,170,461.13/89,215.88
  6. Step 6: Final answer
    x = 193,409.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.