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Finding the Third Proportional to 109,965.09 and 240,954.43

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Solution

The third proportional to 109,965.09 and 240,954.43 is: 527,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,965.09 : 240,954.43 = 240,954.43 : x
  2. Step 2: Convert to fraction form
    109,965.09/240,954.43 = 240,954.43/x
  3. Step 3: Cross multiply
    109,965.09x = 240,954.43 × 240,954.43
  4. Step 4: Simplify right side
    109,965.09x = 58,059,039,068.48
  5. Step 5: Solve for x
    x = 58,059,039,068.48/109,965.09
  6. Step 6: Final answer
    x = 527,976.99

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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.