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Finding the Third Proportional to 108,106 and 232,819

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Solution

The third proportional to 108,106 and 232,819 is: 501,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,106 : 232,819 = 232,819 : x
  2. Step 2: Convert to fraction form
    108,106/232,819 = 232,819/x
  3. Step 3: Cross multiply
    108,106x = 232,819 × 232,819
  4. Step 4: Simplify right side
    108,106x = 54,204,686,761
  5. Step 5: Solve for x
    x = 54,204,686,761/108,106
  6. Step 6: Final answer
    x = 501,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.