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Finding the Third Proportional to 94,687.50 and 205,470

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Solution

The third proportional to 94,687.50 and 205,470 is: 445,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,687.50 : 205,470 = 205,470 : x
  2. Step 2: Convert to fraction form
    94,687.50/205,470 = 205,470/x
  3. Step 3: Cross multiply
    94,687.50x = 205,470 × 205,470
  4. Step 4: Simplify right side
    94,687.50x = 42,217,920,900
  5. Step 5: Solve for x
    x = 42,217,920,900/94,687.50
  6. Step 6: Final answer
    x = 445,865.83

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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.