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Finding the Third Proportional to 92,147.63 and 201,609

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Solution

The third proportional to 92,147.63 and 201,609 is: 441,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,147.63 : 201,609 = 201,609 : x
  2. Step 2: Convert to fraction form
    92,147.63/201,609 = 201,609/x
  3. Step 3: Cross multiply
    92,147.63x = 201,609 × 201,609
  4. Step 4: Simplify right side
    92,147.63x = 40,646,188,881
  5. Step 5: Solve for x
    x = 40,646,188,881/92,147.63
  6. Step 6: Final answer
    x = 441,098.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.