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Finding the Third Proportional to 91,247 and 195,104.25

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Solution

The third proportional to 91,247 and 195,104.25 is: 417,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,247 : 195,104.25 = 195,104.25 : x
  2. Step 2: Convert to fraction form
    91,247/195,104.25 = 195,104.25/x
  3. Step 3: Cross multiply
    91,247x = 195,104.25 × 195,104.25
  4. Step 4: Simplify right side
    91,247x = 38,065,668,368.06
  5. Step 5: Solve for x
    x = 38,065,668,368.06/91,247
  6. Step 6: Final answer
    x = 417,171.72

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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.