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Finding the Third Proportional to 90,199.38 and 194,852.13

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Solution

The third proportional to 90,199.38 and 194,852.13 is: 420,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,199.38 : 194,852.13 = 194,852.13 : x
  2. Step 2: Convert to fraction form
    90,199.38/194,852.13 = 194,852.13/x
  3. Step 3: Cross multiply
    90,199.38x = 194,852.13 × 194,852.13
  4. Step 4: Simplify right side
    90,199.38x = 37,967,350,617.02
  5. Step 5: Solve for x
    x = 37,967,350,617.02/90,199.38
  6. Step 6: Final answer
    x = 420,926.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.