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Finding the Third Proportional to 108,145.17 and 232,929.92

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Solution

The third proportional to 108,145.17 and 232,929.92 is: 501,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,145.17 : 232,929.92 = 232,929.92 : x
  2. Step 2: Convert to fraction form
    108,145.17/232,929.92 = 232,929.92/x
  3. Step 3: Cross multiply
    108,145.17x = 232,929.92 × 232,929.92
  4. Step 4: Simplify right side
    108,145.17x = 54,256,345,888.78
  5. Step 5: Solve for x
    x = 54,256,345,888.78/108,145.17
  6. Step 6: Final answer
    x = 501,699.19

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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.