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Finding the Third Proportional to 90,030 and 194,015

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Solution

The third proportional to 90,030 and 194,015 is: 418,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,030 : 194,015 = 194,015 : x
  2. Step 2: Convert to fraction form
    90,030/194,015 = 194,015/x
  3. Step 3: Cross multiply
    90,030x = 194,015 × 194,015
  4. Step 4: Simplify right side
    90,030x = 37,641,820,225
  5. Step 5: Solve for x
    x = 37,641,820,225/90,030
  6. Step 6: Final answer
    x = 418,103.08

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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.