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Finding the Third Proportional to 90,197.30 and 195,764.34

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Solution

The third proportional to 90,197.30 and 195,764.34 is: 424,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,197.30 : 195,764.34 = 195,764.34 : x
  2. Step 2: Convert to fraction form
    90,197.30/195,764.34 = 195,764.34/x
  3. Step 3: Cross multiply
    90,197.30x = 195,764.34 × 195,764.34
  4. Step 4: Simplify right side
    90,197.30x = 38,323,678,283.87
  5. Step 5: Solve for x
    x = 38,323,678,283.87/90,197.30
  6. Step 6: Final answer
    x = 424,887.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.