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Finding the Third Proportional to 109,675.25 and 235,665.50

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Solution

The third proportional to 109,675.25 and 235,665.50 is: 506,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,675.25 : 235,665.50 = 235,665.50 : x
  2. Step 2: Convert to fraction form
    109,675.25/235,665.50 = 235,665.50/x
  3. Step 3: Cross multiply
    109,675.25x = 235,665.50 × 235,665.50
  4. Step 4: Simplify right side
    109,675.25x = 55,538,227,890.25
  5. Step 5: Solve for x
    x = 55,538,227,890.25/109,675.25
  6. Step 6: Final answer
    x = 506,387.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.