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Finding the Third Proportional to 49,429.50 and 102,363.75

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Solution

The third proportional to 49,429.50 and 102,363.75 is: 211,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,429.50 : 102,363.75 = 102,363.75 : x
  2. Step 2: Convert to fraction form
    49,429.50/102,363.75 = 102,363.75/x
  3. Step 3: Cross multiply
    49,429.50x = 102,363.75 × 102,363.75
  4. Step 4: Simplify right side
    49,429.50x = 10,478,337,314.06
  5. Step 5: Solve for x
    x = 10,478,337,314.06/49,429.50
  6. Step 6: Final answer
    x = 211,985.50

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.