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Finding the Third Proportional to 109,053.84 and 231,290.44

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Solution

The third proportional to 109,053.84 and 231,290.44 is: 490,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,053.84 : 231,290.44 = 231,290.44 : x
  2. Step 2: Convert to fraction form
    109,053.84/231,290.44 = 231,290.44/x
  3. Step 3: Cross multiply
    109,053.84x = 231,290.44 × 231,290.44
  4. Step 4: Simplify right side
    109,053.84x = 53,495,266,478.94
  5. Step 5: Solve for x
    x = 53,495,266,478.94/109,053.84
  6. Step 6: Final answer
    x = 490,539.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.