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Finding the Third Proportional to 108,853,161 and 235,022,502

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Solution

The third proportional to 108,853,161 and 235,022,502 is: 507,431,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853,161 : 235,022,502 = 235,022,502 : x
  2. Step 2: Convert to fraction form
    108,853,161/235,022,502 = 235,022,502/x
  3. Step 3: Cross multiply
    108,853,161x = 235,022,502 × 235,022,502
  4. Step 4: Simplify right side
    108,853,161x = 55,235,576,446,340,000
  5. Step 5: Solve for x
    x = 55,235,576,446,340,000/108,853,161
  6. Step 6: Final answer
    x = 507,431,993.14

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Why These Related Problems?

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