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Finding the Third Proportional to 109,463.75 and 235,813.75

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Solution

The third proportional to 109,463.75 and 235,813.75 is: 508,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,463.75 : 235,813.75 = 235,813.75 : x
  2. Step 2: Convert to fraction form
    109,463.75/235,813.75 = 235,813.75/x
  3. Step 3: Cross multiply
    109,463.75x = 235,813.75 × 235,813.75
  4. Step 4: Simplify right side
    109,463.75x = 55,608,124,689.06
  5. Step 5: Solve for x
    x = 55,608,124,689.06/109,463.75
  6. Step 6: Final answer
    x = 508,004.93

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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.