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Finding the Third Proportional to 102,930.75 and 222,970.50

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Solution

The third proportional to 102,930.75 and 222,970.50 is: 483,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930.75 : 222,970.50 = 222,970.50 : x
  2. Step 2: Convert to fraction form
    102,930.75/222,970.50 = 222,970.50/x
  3. Step 3: Cross multiply
    102,930.75x = 222,970.50 × 222,970.50
  4. Step 4: Simplify right side
    102,930.75x = 49,715,843,870.25
  5. Step 5: Solve for x
    x = 49,715,843,870.25/102,930.75
  6. Step 6: Final answer
    x = 483,002.83

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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.