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Finding the Third Proportional to 90,623.81 and 194,369.63

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Solution

The third proportional to 90,623.81 and 194,369.63 is: 416,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,623.81 : 194,369.63 = 194,369.63 : x
  2. Step 2: Convert to fraction form
    90,623.81/194,369.63 = 194,369.63/x
  3. Step 3: Cross multiply
    90,623.81x = 194,369.63 × 194,369.63
  4. Step 4: Simplify right side
    90,623.81x = 37,779,551,122.64
  5. Step 5: Solve for x
    x = 37,779,551,122.64/90,623.81
  6. Step 6: Final answer
    x = 416,883.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.