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Finding the Third Proportional to 135,647.16 and 199,411.88

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Solution

The third proportional to 135,647.16 and 199,411.88 is: 293,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,647.16 : 199,411.88 = 199,411.88 : x
  2. Step 2: Convert to fraction form
    135,647.16/199,411.88 = 199,411.88/x
  3. Step 3: Cross multiply
    135,647.16x = 199,411.88 × 199,411.88
  4. Step 4: Simplify right side
    135,647.16x = 39,765,095,891.02
  5. Step 5: Solve for x
    x = 39,765,095,891.02/135,647.16
  6. Step 6: Final answer
    x = 293,150.97

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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.