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Finding the Third Proportional to 89,644.22 and 195,588.42

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Solution

The third proportional to 89,644.22 and 195,588.42 is: 426,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,644.22 : 195,588.42 = 195,588.42 : x
  2. Step 2: Convert to fraction form
    89,644.22/195,588.42 = 195,588.42/x
  3. Step 3: Cross multiply
    89,644.22x = 195,588.42 × 195,588.42
  4. Step 4: Simplify right side
    89,644.22x = 38,254,830,771.55
  5. Step 5: Solve for x
    x = 38,254,830,771.55/89,644.22
  6. Step 6: Final answer
    x = 426,740.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.