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Finding the Third Proportional to 108,853,085.25 and 235,022,350.50

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Solution

The third proportional to 108,853,085.25 and 235,022,350.50 is: 507,431,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853,085.25 : 235,022,350.50 = 235,022,350.50 : x
  2. Step 2: Convert to fraction form
    108,853,085.25/235,022,350.50 = 235,022,350.50/x
  3. Step 3: Cross multiply
    108,853,085.25x = 235,022,350.50 × 235,022,350.50
  4. Step 4: Simplify right side
    108,853,085.25x = 55,235,505,234,544,848
  5. Step 5: Solve for x
    x = 55,235,505,234,544,848/108,853,085.25
  6. Step 6: Final answer
    x = 507,431,692.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.