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Finding the Third Proportional to 108,904.50 and 233,566.88

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Solution

The third proportional to 108,904.50 and 233,566.88 is: 500,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,904.50 : 233,566.88 = 233,566.88 : x
  2. Step 2: Convert to fraction form
    108,904.50/233,566.88 = 233,566.88/x
  3. Step 3: Cross multiply
    108,904.50x = 233,566.88 × 233,566.88
  4. Step 4: Simplify right side
    108,904.50x = 54,553,485,097.27
  5. Step 5: Solve for x
    x = 54,553,485,097.27/108,904.50
  6. Step 6: Final answer
    x = 500,929.58

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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.