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Finding the Third Proportional to 90,010 and 196,972

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Solution

The third proportional to 90,010 and 196,972 is: 431,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,010 : 196,972 = 196,972 : x
  2. Step 2: Convert to fraction form
    90,010/196,972 = 196,972/x
  3. Step 3: Cross multiply
    90,010x = 196,972 × 196,972
  4. Step 4: Simplify right side
    90,010x = 38,797,968,784
  5. Step 5: Solve for x
    x = 38,797,968,784/90,010
  6. Step 6: Final answer
    x = 431,040.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.