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Finding the Third Proportional to 44,176.50 and 95,778

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Solution

The third proportional to 44,176.50 and 95,778 is: 207,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,176.50 : 95,778 = 95,778 : x
  2. Step 2: Convert to fraction form
    44,176.50/95,778 = 95,778/x
  3. Step 3: Cross multiply
    44,176.50x = 95,778 × 95,778
  4. Step 4: Simplify right side
    44,176.50x = 9,173,425,284
  5. Step 5: Solve for x
    x = 9,173,425,284/44,176.50
  6. Step 6: Final answer
    x = 207,653.96

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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.