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Finding the Third Proportional to 48,100.50 and 98,590.50

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Solution

The third proportional to 48,100.50 and 98,590.50 is: 202,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,100.50 : 98,590.50 = 98,590.50 : x
  2. Step 2: Convert to fraction form
    48,100.50/98,590.50 = 98,590.50/x
  3. Step 3: Cross multiply
    48,100.50x = 98,590.50 × 98,590.50
  4. Step 4: Simplify right side
    48,100.50x = 9,720,086,690.25
  5. Step 5: Solve for x
    x = 9,720,086,690.25/48,100.50
  6. Step 6: Final answer
    x = 202,078.70

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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.