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Finding the Third Proportional to 52,948.69 and 110,200.50

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Solution

The third proportional to 52,948.69 and 110,200.50 is: 229,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,948.69 : 110,200.50 = 110,200.50 : x
  2. Step 2: Convert to fraction form
    52,948.69/110,200.50 = 110,200.50/x
  3. Step 3: Cross multiply
    52,948.69x = 110,200.50 × 110,200.50
  4. Step 4: Simplify right side
    52,948.69x = 12,144,150,200.25
  5. Step 5: Solve for x
    x = 12,144,150,200.25/52,948.69
  6. Step 6: Final answer
    x = 229,356.96

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.