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Finding the Third Proportional to 77,618.25 and 166,900.50

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Solution

The third proportional to 77,618.25 and 166,900.50 is: 358,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,618.25 : 166,900.50 = 166,900.50 : x
  2. Step 2: Convert to fraction form
    77,618.25/166,900.50 = 166,900.50/x
  3. Step 3: Cross multiply
    77,618.25x = 166,900.50 × 166,900.50
  4. Step 4: Simplify right side
    77,618.25x = 27,855,776,900.25
  5. Step 5: Solve for x
    x = 27,855,776,900.25/77,618.25
  6. Step 6: Final answer
    x = 358,881.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.