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Finding the Third Proportional to 91,596.34 and 198,859.22

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Solution

The third proportional to 91,596.34 and 198,859.22 is: 431,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,596.34 : 198,859.22 = 198,859.22 : x
  2. Step 2: Convert to fraction form
    91,596.34/198,859.22 = 198,859.22/x
  3. Step 3: Cross multiply
    91,596.34x = 198,859.22 × 198,859.22
  4. Step 4: Simplify right side
    91,596.34x = 39,544,988,881.86
  5. Step 5: Solve for x
    x = 39,544,988,881.86/91,596.34
  6. Step 6: Final answer
    x = 431,731.10

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