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Finding the Third Proportional to 90,434.50 and 191,018.75

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Solution

The third proportional to 90,434.50 and 191,018.75 is: 403,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,434.50 : 191,018.75 = 191,018.75 : x
  2. Step 2: Convert to fraction form
    90,434.50/191,018.75 = 191,018.75/x
  3. Step 3: Cross multiply
    90,434.50x = 191,018.75 × 191,018.75
  4. Step 4: Simplify right side
    90,434.50x = 36,488,162,851.56
  5. Step 5: Solve for x
    x = 36,488,162,851.56/90,434.50
  6. Step 6: Final answer
    x = 403,476.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.