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Finding the Third Proportional to 108,994.04 and 233,753.66

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Solution

The third proportional to 108,994.04 and 233,753.66 is: 501,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,994.04 : 233,753.66 = 233,753.66 : x
  2. Step 2: Convert to fraction form
    108,994.04/233,753.66 = 233,753.66/x
  3. Step 3: Cross multiply
    108,994.04x = 233,753.66 × 233,753.66
  4. Step 4: Simplify right side
    108,994.04x = 54,640,773,636.44
  5. Step 5: Solve for x
    x = 54,640,773,636.44/108,994.04
  6. Step 6: Final answer
    x = 501,318.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.