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Finding the Third Proportional to 108,151.88 and 232,943.06

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Solution

The third proportional to 108,151.88 and 232,943.06 is: 501,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,151.88 : 232,943.06 = 232,943.06 : x
  2. Step 2: Convert to fraction form
    108,151.88/232,943.06 = 232,943.06/x
  3. Step 3: Cross multiply
    108,151.88x = 232,943.06 × 232,943.06
  4. Step 4: Simplify right side
    108,151.88x = 54,262,470,366.88
  5. Step 5: Solve for x
    x = 54,262,470,366.88/108,151.88
  6. Step 6: Final answer
    x = 501,724.73

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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.