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Finding the Third Proportional to 108,949.78 and 235,405.69

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Solution

The third proportional to 108,949.78 and 235,405.69 is: 508,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,949.78 : 235,405.69 = 235,405.69 : x
  2. Step 2: Convert to fraction form
    108,949.78/235,405.69 = 235,405.69/x
  3. Step 3: Cross multiply
    108,949.78x = 235,405.69 × 235,405.69
  4. Step 4: Simplify right side
    108,949.78x = 55,415,837,707.35
  5. Step 5: Solve for x
    x = 55,415,837,707.35/108,949.78
  6. Step 6: Final answer
    x = 508,636.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.