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Finding the Third Proportional to 91,200.75 and 195,017.25

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Solution

The third proportional to 91,200.75 and 195,017.25 is: 417,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,200.75 : 195,017.25 = 195,017.25 : x
  2. Step 2: Convert to fraction form
    91,200.75/195,017.25 = 195,017.25/x
  3. Step 3: Cross multiply
    91,200.75x = 195,017.25 × 195,017.25
  4. Step 4: Simplify right side
    91,200.75x = 38,031,727,797.56
  5. Step 5: Solve for x
    x = 38,031,727,797.56/91,200.75
  6. Step 6: Final answer
    x = 417,011.13

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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.