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Finding the Third Proportional to 89,646.50 and 195,065

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Solution

The third proportional to 89,646.50 and 195,065 is: 424,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,646.50 : 195,065 = 195,065 : x
  2. Step 2: Convert to fraction form
    89,646.50/195,065 = 195,065/x
  3. Step 3: Cross multiply
    89,646.50x = 195,065 × 195,065
  4. Step 4: Simplify right side
    89,646.50x = 38,050,354,225
  5. Step 5: Solve for x
    x = 38,050,354,225/89,646.50
  6. Step 6: Final answer
    x = 424,448.85

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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.