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Finding the Third Proportional to 108,901.69 and 233,560.13

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Solution

The third proportional to 108,901.69 and 233,560.13 is: 500,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,901.69 : 233,560.13 = 233,560.13 : x
  2. Step 2: Convert to fraction form
    108,901.69/233,560.13 = 233,560.13/x
  3. Step 3: Cross multiply
    108,901.69x = 233,560.13 × 233,560.13
  4. Step 4: Simplify right side
    108,901.69x = 54,550,331,990.02
  5. Step 5: Solve for x
    x = 54,550,331,990.02/108,901.69
  6. Step 6: Final answer
    x = 500,913.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.