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Finding the Third Proportional to 99,186.19 and 144,532.69

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Solution

The third proportional to 99,186.19 and 144,532.69 is: 210,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,186.19 : 144,532.69 = 144,532.69 : x
  2. Step 2: Convert to fraction form
    99,186.19/144,532.69 = 144,532.69/x
  3. Step 3: Cross multiply
    99,186.19x = 144,532.69 × 144,532.69
  4. Step 4: Simplify right side
    99,186.19x = 20,889,697,755.97
  5. Step 5: Solve for x
    x = 20,889,697,755.97/99,186.19
  6. Step 6: Final answer
    x = 210,610.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.