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Finding the Third Proportional to 89,881.88 and 195,852.38

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Solution

The third proportional to 89,881.88 and 195,852.38 is: 426,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,881.88 : 195,852.38 = 195,852.38 : x
  2. Step 2: Convert to fraction form
    89,881.88/195,852.38 = 195,852.38/x
  3. Step 3: Cross multiply
    89,881.88x = 195,852.38 × 195,852.38
  4. Step 4: Simplify right side
    89,881.88x = 38,358,152,793.14
  5. Step 5: Solve for x
    x = 38,358,152,793.14/89,881.88
  6. Step 6: Final answer
    x = 426,761.82

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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.