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Finding the Third Proportional to 108,514.75 and 238,039.50

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Solution

The third proportional to 108,514.75 and 238,039.50 is: 522,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,514.75 : 238,039.50 = 238,039.50 : x
  2. Step 2: Convert to fraction form
    108,514.75/238,039.50 = 238,039.50/x
  3. Step 3: Cross multiply
    108,514.75x = 238,039.50 × 238,039.50
  4. Step 4: Simplify right side
    108,514.75x = 56,662,803,560.25
  5. Step 5: Solve for x
    x = 56,662,803,560.25/108,514.75
  6. Step 6: Final answer
    x = 522,166.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.