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Finding the Third Proportional to 92,965.13 and 201,385.88

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Solution

The third proportional to 92,965.13 and 201,385.88 is: 436,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,965.13 : 201,385.88 = 201,385.88 : x
  2. Step 2: Convert to fraction form
    92,965.13/201,385.88 = 201,385.88/x
  3. Step 3: Cross multiply
    92,965.13x = 201,385.88 × 201,385.88
  4. Step 4: Simplify right side
    92,965.13x = 40,556,270,649.52
  5. Step 5: Solve for x
    x = 40,556,270,649.52/92,965.13
  6. Step 6: Final answer
    x = 436,252.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.