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Finding the Third Proportional to 47,830.50 and 98,050.50

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Solution

The third proportional to 47,830.50 and 98,050.50 is: 200,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830.50 : 98,050.50 = 98,050.50 : x
  2. Step 2: Convert to fraction form
    47,830.50/98,050.50 = 98,050.50/x
  3. Step 3: Cross multiply
    47,830.50x = 98,050.50 × 98,050.50
  4. Step 4: Simplify right side
    47,830.50x = 9,613,900,550.25
  5. Step 5: Solve for x
    x = 9,613,900,550.25/47,830.50
  6. Step 6: Final answer
    x = 200,999.37

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.