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Finding the Third Proportional to 92,272.69 and 201,221.25

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Solution

The third proportional to 92,272.69 and 201,221.25 is: 438,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,272.69 : 201,221.25 = 201,221.25 : x
  2. Step 2: Convert to fraction form
    92,272.69/201,221.25 = 201,221.25/x
  3. Step 3: Cross multiply
    92,272.69x = 201,221.25 × 201,221.25
  4. Step 4: Simplify right side
    92,272.69x = 40,489,991,451.56
  5. Step 5: Solve for x
    x = 40,489,991,451.56/92,272.69
  6. Step 6: Final answer
    x = 438,807.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.