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Finding the Third Proportional to 94,397.50 and 199,730

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Solution

The third proportional to 94,397.50 and 199,730 is: 422,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,397.50 : 199,730 = 199,730 : x
  2. Step 2: Convert to fraction form
    94,397.50/199,730 = 199,730/x
  3. Step 3: Cross multiply
    94,397.50x = 199,730 × 199,730
  4. Step 4: Simplify right side
    94,397.50x = 39,892,072,900
  5. Step 5: Solve for x
    x = 39,892,072,900/94,397.50
  6. Step 6: Final answer
    x = 422,596.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.